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Finding the Fourth Proportional to 728.70, 1,093.18 and 241.78

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Solution

The fourth proportional to 728.70, 1,093.18 and 241.78 is: 362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.70 : 1,093.18 = 241.78 : x
  2. Step 2: Convert to fraction form
    728.70/1,093.18 = 241.78/x
  3. Step 3: Cross multiply
    728.70x = 1,093.18 × 241.78
  4. Step 4: Simplify right side
    728.70x = 264,309.06
  5. Step 5: Solve for x
    x = 264,309.06/728.70
  6. Step 6: Final answer
    x = 362.71

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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.