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Finding the Fourth Proportional to 686.34, 1,023.44 and 613.44

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Solution

The fourth proportional to 686.34, 1,023.44 and 613.44 is: 914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 1,023.44 = 613.44 : x
  2. Step 2: Convert to fraction form
    686.34/1,023.44 = 613.44/x
  3. Step 3: Cross multiply
    686.34x = 1,023.44 × 613.44
  4. Step 4: Simplify right side
    686.34x = 627,815.97
  5. Step 5: Solve for x
    x = 627,815.97/686.34
  6. Step 6: Final answer
    x = 914.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.