1. Let's solve the first problem: Verify if the ratio $1.5 : 350$ equals $1 : 70$. 2. The ratio $a : b$ equals $c : d$ if and only if $\frac{a}{b} = \frac{c}{d}$. 3. Calculate $\frac{1.5}{350} = \frac{1.5}{350}$ and $\frac{1}{70} = \frac{1}{70}$. 4. Simplify $\frac{1.5}{350}$ by dividing numerator and denominator by $0.5$: $$\frac{\cancel{1.5}^{3}}{\cancel{350}^{700}} = \frac{3}{700}$$ 5. Simplify $\frac{1}{70}$ (already simplest form). 6. Since $\frac{3}{700} \neq \frac{1}{70}$, the ratios are not equal. Final answer: The ratios $1.5 : 350$ and $1 : 70$ are not equal.