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Finding the Fourth Proportional to 731.89, 1,097.57 and 244.83

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Solution

The fourth proportional to 731.89, 1,097.57 and 244.83 is: 367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.89 : 1,097.57 = 244.83 : x
  2. Step 2: Convert to fraction form
    731.89/1,097.57 = 244.83/x
  3. Step 3: Cross multiply
    731.89x = 1,097.57 × 244.83
  4. Step 4: Simplify right side
    731.89x = 268,716.62
  5. Step 5: Solve for x
    x = 268,716.62/731.89
  6. Step 6: Final answer
    x = 367.15

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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.