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Finding the Fourth Proportional to 687.87, 1,031.92 and 379.87

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Solution

The fourth proportional to 687.87, 1,031.92 and 379.87 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.87 : 1,031.92 = 379.87 : x
  2. Step 2: Convert to fraction form
    687.87/1,031.92 = 379.87/x
  3. Step 3: Cross multiply
    687.87x = 1,031.92 × 379.87
  4. Step 4: Simplify right side
    687.87x = 391,995.45
  5. Step 5: Solve for x
    x = 391,995.45/687.87
  6. Step 6: Final answer
    x = 569.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.