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Finding the Fourth Proportional to 732.73, 1,099.44 and 440.34

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Solution

The fourth proportional to 732.73, 1,099.44 and 440.34 is: 660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.73 : 1,099.44 = 440.34 : x
  2. Step 2: Convert to fraction form
    732.73/1,099.44 = 440.34/x
  3. Step 3: Cross multiply
    732.73x = 1,099.44 × 440.34
  4. Step 4: Simplify right side
    732.73x = 484,123.29
  5. Step 5: Solve for x
    x = 484,123.29/732.73
  6. Step 6: Final answer
    x = 660.71

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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.