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Finding the Fourth Proportional to 732.73, 1,099.20 and 316.38

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Solution

The fourth proportional to 732.73, 1,099.20 and 316.38 is: 474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.73 : 1,099.20 = 316.38 : x
  2. Step 2: Convert to fraction form
    732.73/1,099.20 = 316.38/x
  3. Step 3: Cross multiply
    732.73x = 1,099.20 × 316.38
  4. Step 4: Simplify right side
    732.73x = 347,759.40
  5. Step 5: Solve for x
    x = 347,759.40/732.73
  6. Step 6: Final answer
    x = 474.61

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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.