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Finding the Fourth Proportional to 731.90, 1,098.64 and 407.18

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Solution

The fourth proportional to 731.90, 1,098.64 and 407.18 is: 611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.90 : 1,098.64 = 407.18 : x
  2. Step 2: Convert to fraction form
    731.90/1,098.64 = 407.18/x
  3. Step 3: Cross multiply
    731.90x = 1,098.64 × 407.18
  4. Step 4: Simplify right side
    731.90x = 447,344.24
  5. Step 5: Solve for x
    x = 447,344.24/731.90
  6. Step 6: Final answer
    x = 611.21

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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.