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Finding the Fourth Proportional to 686.31, 1,033.25 and 471.30

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Solution

The fourth proportional to 686.31, 1,033.25 and 471.30 is: 709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.31 : 1,033.25 = 471.30 : x
  2. Step 2: Convert to fraction form
    686.31/1,033.25 = 471.30/x
  3. Step 3: Cross multiply
    686.31x = 1,033.25 × 471.30
  4. Step 4: Simplify right side
    686.31x = 486,970.73
  5. Step 5: Solve for x
    x = 486,970.73/686.31
  6. Step 6: Final answer
    x = 709.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.