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Finding the Fourth Proportional to 732.62, 1,098.12 and 407.82

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Solution

The fourth proportional to 732.62, 1,098.12 and 407.82 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.62 : 1,098.12 = 407.82 : x
  2. Step 2: Convert to fraction form
    732.62/1,098.12 = 407.82/x
  3. Step 3: Cross multiply
    732.62x = 1,098.12 × 407.82
  4. Step 4: Simplify right side
    732.62x = 447,835.30
  5. Step 5: Solve for x
    x = 447,835.30/732.62
  6. Step 6: Final answer
    x = 611.28

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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.