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Finding the Fourth Proportional to 686.62, 948.40 and 500.70

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Solution

The fourth proportional to 686.62, 948.40 and 500.70 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.62 : 948.40 = 500.70 : x
  2. Step 2: Convert to fraction form
    686.62/948.40 = 500.70/x
  3. Step 3: Cross multiply
    686.62x = 948.40 × 500.70
  4. Step 4: Simplify right side
    686.62x = 474,863.88
  5. Step 5: Solve for x
    x = 474,863.88/686.62
  6. Step 6: Final answer
    x = 691.60

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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.