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Finding the Fourth Proportional to 733, 1,099.38 and 515.92

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Solution

The fourth proportional to 733, 1,099.38 and 515.92 is: 773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    733 : 1,099.38 = 515.92 : x
  2. Step 2: Convert to fraction form
    733/1,099.38 = 515.92/x
  3. Step 3: Cross multiply
    733x = 1,099.38 × 515.92
  4. Step 4: Simplify right side
    733x = 567,192.13
  5. Step 5: Solve for x
    x = 567,192.13/733
  6. Step 6: Final answer
    x = 773.80

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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.