A rectangular box has dimensions 4 in by 4 in by 2 in. Increasing each dimension of the box by the same amount yields a new box with volume four times the old. Use the ALEKS graphing calculator to find how much each dimension of the original box was increased to create the new box. Round your answer to two decimal places.
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Step 1 ：The volume of a rectangular box is given by the product of its length, width, and height. In this case, the original volume is \(4*4*2 = 32\) cubic inches.

Step 2 ：The problem states that each dimension of the box is increased by the same amount, say x, to yield a new box with volume four times the old. This means the new volume is \(4*32 = 128\) cubic inches.

Step 3 ：We can set up the equation \((4+x)(4+x)(2+x) = 128\) to solve for x.

Step 4 ：The solution to the equation gives three possible values for x. However, since we are dealing with dimensions of a box, we can discard the complex solutions and only consider the real solution.

Step 5 ：Final Answer: The amount each dimension of the original box was increased to create the new box is approximately \(\boxed{1.80}\) inches.