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Finding the Fourth Proportional to 731.38, 1,097.18 and 262.82

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Solution

The fourth proportional to 731.38, 1,097.18 and 262.82 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.38 : 1,097.18 = 262.82 : x
  2. Step 2: Convert to fraction form
    731.38/1,097.18 = 262.82/x
  3. Step 3: Cross multiply
    731.38x = 1,097.18 × 262.82
  4. Step 4: Simplify right side
    731.38x = 288,360.85
  5. Step 5: Solve for x
    x = 288,360.85/731.38
  6. Step 6: Final answer
    x = 394.27

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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.