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Finding the Fourth Proportional to 733.24, 1,099.62 and 343.12

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Solution

The fourth proportional to 733.24, 1,099.62 and 343.12 is: 514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.24 : 1,099.62 = 343.12 : x
  2. Step 2: Convert to fraction form
    733.24/1,099.62 = 343.12/x
  3. Step 3: Cross multiply
    733.24x = 1,099.62 × 343.12
  4. Step 4: Simplify right side
    733.24x = 377,301.61
  5. Step 5: Solve for x
    x = 377,301.61/733.24
  6. Step 6: Final answer
    x = 514.57

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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.