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Finding the Fourth Proportional to 728.18, 1,092.38 and 265.86

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Solution

The fourth proportional to 728.18, 1,092.38 and 265.86 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.18 : 1,092.38 = 265.86 : x
  2. Step 2: Convert to fraction form
    728.18/1,092.38 = 265.86/x
  3. Step 3: Cross multiply
    728.18x = 1,092.38 × 265.86
  4. Step 4: Simplify right side
    728.18x = 290,418.82
  5. Step 5: Solve for x
    x = 290,418.82/728.18
  6. Step 6: Final answer
    x = 398.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.