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Finding the Fourth Proportional to 731.48, 1,097.64 and 292.64

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Solution

The fourth proportional to 731.48, 1,097.64 and 292.64 is: 439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.48 : 1,097.64 = 292.64 : x
  2. Step 2: Convert to fraction form
    731.48/1,097.64 = 292.64/x
  3. Step 3: Cross multiply
    731.48x = 1,097.64 × 292.64
  4. Step 4: Simplify right side
    731.48x = 321,207.88
  5. Step 5: Solve for x
    x = 321,207.88/731.48
  6. Step 6: Final answer
    x = 439.12

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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.