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Finding the Fourth Proportional to 733.54, 1,098.15 and 458.80

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Solution

The fourth proportional to 733.54, 1,098.15 and 458.80 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.54 : 1,098.15 = 458.80 : x
  2. Step 2: Convert to fraction form
    733.54/1,098.15 = 458.80/x
  3. Step 3: Cross multiply
    733.54x = 1,098.15 × 458.80
  4. Step 4: Simplify right side
    733.54x = 503,831.22
  5. Step 5: Solve for x
    x = 503,831.22/733.54
  6. Step 6: Final answer
    x = 686.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.