1. **State the problem:** We need to find the mass of 700 sheets of paper given that 500 sheets have a mass of 2.27 kg. 2. **Formula used:** The mass is proportional to the number of sheets. We use the ratio formula: $$\frac{\text{mass}_1}{\text{sheets}_1} = \frac{\text{mass}_2}{\text{sheets}_2}$$ 3. **Set up the proportion:** $$\frac{2.27}{500} = \frac{m}{700}$$ where $m$ is the mass of 700 sheets. 4. **Solve for $m$:** Multiply both sides by 700: $$m = 700 \times \frac{2.27}{500}$$ 5. **Simplify the fraction:** $$m = 700 \times \frac{2.27}{\cancel{500}} \times \frac{\cancel{1}}{1}$$ 6. **Calculate:** $$m = 700 \times 0.00454 = 3.178$$ 7. **Final answer:** The mass of 700 sheets of paper is approximately **3.18 kg**.