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Finding the Fourth Proportional to 686.87, 947.89 and 372.14

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Solution

The fourth proportional to 686.87, 947.89 and 372.14 is: 513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.87 : 947.89 = 372.14 : x
  2. Step 2: Convert to fraction form
    686.87/947.89 = 372.14/x
  3. Step 3: Cross multiply
    686.87x = 947.89 × 372.14
  4. Step 4: Simplify right side
    686.87x = 352,747.45
  5. Step 5: Solve for x
    x = 352,747.45/686.87
  6. Step 6: Final answer
    x = 513.55

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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.