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Finding the Fourth Proportional to 733.60, 1,099.43 and 343.57

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Solution

The fourth proportional to 733.60, 1,099.43 and 343.57 is: 514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.60 : 1,099.43 = 343.57 : x
  2. Step 2: Convert to fraction form
    733.60/1,099.43 = 343.57/x
  3. Step 3: Cross multiply
    733.60x = 1,099.43 × 343.57
  4. Step 4: Simplify right side
    733.60x = 377,731.17
  5. Step 5: Solve for x
    x = 377,731.17/733.60
  6. Step 6: Final answer
    x = 514.90

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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.