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Finding the Fourth Proportional to 731.10, 1,096.82 and 268.88

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Solution

The fourth proportional to 731.10, 1,096.82 and 268.88 is: 403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.10 : 1,096.82 = 268.88 : x
  2. Step 2: Convert to fraction form
    731.10/1,096.82 = 268.88/x
  3. Step 3: Cross multiply
    731.10x = 1,096.82 × 268.88
  4. Step 4: Simplify right side
    731.10x = 294,907.14
  5. Step 5: Solve for x
    x = 294,907.14/731.10
  6. Step 6: Final answer
    x = 403.37

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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.