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Finding the Fourth Proportional to 732.46, 1,099.13 and 321.59

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Solution

The fourth proportional to 732.46, 1,099.13 and 321.59 is: 482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.46 : 1,099.13 = 321.59 : x
  2. Step 2: Convert to fraction form
    732.46/1,099.13 = 321.59/x
  3. Step 3: Cross multiply
    732.46x = 1,099.13 × 321.59
  4. Step 4: Simplify right side
    732.46x = 353,469.22
  5. Step 5: Solve for x
    x = 353,469.22/732.46
  6. Step 6: Final answer
    x = 482.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.