Step 1 :Given that the total number of likely voters to be surveyed is 1,247 and the percentage of Republicans is 39.1%, we can calculate the number of Republicans by multiplying the total number of voters by the percentage of Republicans.
Step 2 :Let's denote the total number of voters as \(V\), and the percentage of Republicans as \(P\). The number of Republicans can be calculated as \(R = V \times P\).
Step 3 :Substitute \(V = 1247\) and \(P = 0.391\) into the equation, we get \(R = 1247 \times 0.391\).
Step 4 :Calculate the value of \(R\), we get \(R = 487.577\).
Step 5 :Since the number of people cannot be a decimal, we round \(R\) to the nearest whole number, which is 488.
Step 6 :Final Answer: The number of Republicans that should be used in the sample is \(\boxed{488}\).