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Finding the Fourth Proportional to 686.92, 1,034.11 and 627.40

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Solution

The fourth proportional to 686.92, 1,034.11 and 627.40 is: 944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.92 : 1,034.11 = 627.40 : x
  2. Step 2: Convert to fraction form
    686.92/1,034.11 = 627.40/x
  3. Step 3: Cross multiply
    686.92x = 1,034.11 × 627.40
  4. Step 4: Simplify right side
    686.92x = 648,800.61
  5. Step 5: Solve for x
    x = 648,800.61/686.92
  6. Step 6: Final answer
    x = 944.51

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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.