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Finding the Fourth Proportional to 728.38, 1,091.94 and 241.12

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Solution

The fourth proportional to 728.38, 1,091.94 and 241.12 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.38 : 1,091.94 = 241.12 : x
  2. Step 2: Convert to fraction form
    728.38/1,091.94 = 241.12/x
  3. Step 3: Cross multiply
    728.38x = 1,091.94 × 241.12
  4. Step 4: Simplify right side
    728.38x = 263,288.57
  5. Step 5: Solve for x
    x = 263,288.57/728.38
  6. Step 6: Final answer
    x = 361.47

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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.