Answer
1250 ft
Work Step by Step
Create a proportion using ratios of length : resistance.
$\frac{750\ ft}{1.563\ \Omega}=\frac{x\ ft}{2.605\ \Omega}$
Set the product of the means equal to the product of the extremes and solve for the variable.
$1.563\times x = 750\times2.605$
$1.563x=1953.75$
$1.563x\div1.563=1953.75\div1.563$
$x=1250$