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Finding the Fourth Proportional to 731.68, 1,097.72 and 407.27

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Solution

The fourth proportional to 731.68, 1,097.72 and 407.27 is: 611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.68 : 1,097.72 = 407.27 : x
  2. Step 2: Convert to fraction form
    731.68/1,097.72 = 407.27/x
  3. Step 3: Cross multiply
    731.68x = 1,097.72 × 407.27
  4. Step 4: Simplify right side
    731.68x = 447,070.66
  5. Step 5: Solve for x
    x = 447,070.66/731.68
  6. Step 6: Final answer
    x = 611.02

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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.