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Finding the Fourth Proportional to 728.13, 1,092.27 and 241.27

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Solution

The fourth proportional to 728.13, 1,092.27 and 241.27 is: 361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.13 : 1,092.27 = 241.27 : x
  2. Step 2: Convert to fraction form
    728.13/1,092.27 = 241.27/x
  3. Step 3: Cross multiply
    728.13x = 1,092.27 × 241.27
  4. Step 4: Simplify right side
    728.13x = 263,531.98
  5. Step 5: Solve for x
    x = 263,531.98/728.13
  6. Step 6: Final answer
    x = 361.93

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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.