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Finding the Fourth Proportional to 732.96, 1,099.13 and 440.75

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Solution

The fourth proportional to 732.96, 1,099.13 and 440.75 is: 660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.96 : 1,099.13 = 440.75 : x
  2. Step 2: Convert to fraction form
    732.96/1,099.13 = 440.75/x
  3. Step 3: Cross multiply
    732.96x = 1,099.13 × 440.75
  4. Step 4: Simplify right side
    732.96x = 484,433.85
  5. Step 5: Solve for x
    x = 484,433.85/732.96
  6. Step 6: Final answer
    x = 660.93

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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.