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Finding the Fourth Proportional to 728.44, 1,092.02 and 241.36

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Solution

The fourth proportional to 728.44, 1,092.02 and 241.36 is: 361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.44 : 1,092.02 = 241.36 : x
  2. Step 2: Convert to fraction form
    728.44/1,092.02 = 241.36/x
  3. Step 3: Cross multiply
    728.44x = 1,092.02 × 241.36
  4. Step 4: Simplify right side
    728.44x = 263,569.95
  5. Step 5: Solve for x
    x = 263,569.95/728.44
  6. Step 6: Final answer
    x = 361.83

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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.