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Finding the Fourth Proportional to 686.53, 947.32 and 391.74

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Solution

The fourth proportional to 686.53, 947.32 and 391.74 is: 540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.53 : 947.32 = 391.74 : x
  2. Step 2: Convert to fraction form
    686.53/947.32 = 391.74/x
  3. Step 3: Cross multiply
    686.53x = 947.32 × 391.74
  4. Step 4: Simplify right side
    686.53x = 371,101.18
  5. Step 5: Solve for x
    x = 371,101.18/686.53
  6. Step 6: Final answer
    x = 540.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.