Answer
$1.4$
Work Step by Step
We can find the ratio $\frac{v_a}{v_B}$ as follows:
$\frac{v_A}{v_B}=\sqrt{\frac{F_A}{F_B}}(\frac{d_B}{d_A})$
We plug in the known values to obtain:
$\frac{v_A}{v_B}=\sqrt{\frac{410}{820}}(\frac{1.0mm}{0.50mm})=1.4$