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Finding the Fourth Proportional to 688.26, 937.08 and 686.10

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Solution

The fourth proportional to 688.26, 937.08 and 686.10 is: 934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.26 : 937.08 = 686.10 : x
  2. Step 2: Convert to fraction form
    688.26/937.08 = 686.10/x
  3. Step 3: Cross multiply
    688.26x = 937.08 × 686.10
  4. Step 4: Simplify right side
    688.26x = 642,930.59
  5. Step 5: Solve for x
    x = 642,930.59/688.26
  6. Step 6: Final answer
    x = 934.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.