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Finding the Fourth Proportional to 728.96, 1,092.12 and 454.92

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Solution

The fourth proportional to 728.96, 1,092.12 and 454.92 is: 681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.96 : 1,092.12 = 454.92 : x
  2. Step 2: Convert to fraction form
    728.96/1,092.12 = 454.92/x
  3. Step 3: Cross multiply
    728.96x = 1,092.12 × 454.92
  4. Step 4: Simplify right side
    728.96x = 496,827.23
  5. Step 5: Solve for x
    x = 496,827.23/728.96
  6. Step 6: Final answer
    x = 681.56

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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.