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Finding the Fourth Proportional to 732.18, 1,098.23 and 407.34

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Solution

The fourth proportional to 732.18, 1,098.23 and 407.34 is: 610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.18 : 1,098.23 = 407.34 : x
  2. Step 2: Convert to fraction form
    732.18/1,098.23 = 407.34/x
  3. Step 3: Cross multiply
    732.18x = 1,098.23 × 407.34
  4. Step 4: Simplify right side
    732.18x = 447,350.97
  5. Step 5: Solve for x
    x = 447,350.97/732.18
  6. Step 6: Final answer
    x = 610.98

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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.