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Finding the Fourth Proportional to 731.80, 1,098.10 and 407.12

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Solution

The fourth proportional to 731.80, 1,098.10 and 407.12 is: 610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.80 : 1,098.10 = 407.12 : x
  2. Step 2: Convert to fraction form
    731.80/1,098.10 = 407.12/x
  3. Step 3: Cross multiply
    731.80x = 1,098.10 × 407.12
  4. Step 4: Simplify right side
    731.80x = 447,058.47
  5. Step 5: Solve for x
    x = 447,058.47/731.80
  6. Step 6: Final answer
    x = 610.90

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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.