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Finding the Fourth Proportional to 686.80, 1,031.82 and 565.30

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Solution

The fourth proportional to 686.80, 1,031.82 and 565.30 is: 849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.80 : 1,031.82 = 565.30 : x
  2. Step 2: Convert to fraction form
    686.80/1,031.82 = 565.30/x
  3. Step 3: Cross multiply
    686.80x = 1,031.82 × 565.30
  4. Step 4: Simplify right side
    686.80x = 583,287.85
  5. Step 5: Solve for x
    x = 583,287.85/686.80
  6. Step 6: Final answer
    x = 849.28

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