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Finding the Fourth Proportional to 728.88, 1,092.24 and 512.88

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Solution

The fourth proportional to 728.88, 1,092.24 and 512.88 is: 768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.88 : 1,092.24 = 512.88 : x
  2. Step 2: Convert to fraction form
    728.88/1,092.24 = 512.88/x
  3. Step 3: Cross multiply
    728.88x = 1,092.24 × 512.88
  4. Step 4: Simplify right side
    728.88x = 560,188.05
  5. Step 5: Solve for x
    x = 560,188.05/728.88
  6. Step 6: Final answer
    x = 768.56

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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.