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Finding the Fourth Proportional to 686.37, 1,027.10 and 503.31

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Solution

The fourth proportional to 686.37, 1,027.10 and 503.31 is: 753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.37 : 1,027.10 = 503.31 : x
  2. Step 2: Convert to fraction form
    686.37/1,027.10 = 503.31/x
  3. Step 3: Cross multiply
    686.37x = 1,027.10 × 503.31
  4. Step 4: Simplify right side
    686.37x = 516,949.70
  5. Step 5: Solve for x
    x = 516,949.70/686.37
  6. Step 6: Final answer
    x = 753.16

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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.