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Finding the Fourth Proportional to 733.53, 1,099.77 and 343.31

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Solution

The fourth proportional to 733.53, 1,099.77 and 343.31 is: 514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.53 : 1,099.77 = 343.31 : x
  2. Step 2: Convert to fraction form
    733.53/1,099.77 = 343.31/x
  3. Step 3: Cross multiply
    733.53x = 1,099.77 × 343.31
  4. Step 4: Simplify right side
    733.53x = 377,565.61
  5. Step 5: Solve for x
    x = 377,565.61/733.53
  6. Step 6: Final answer
    x = 514.73

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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.