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Finding the Fourth Proportional to 754.84, 1,132.47 and 267.76

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Solution

The fourth proportional to 754.84, 1,132.47 and 267.76 is: 401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.84 : 1,132.47 = 267.76 : x
  2. Step 2: Convert to fraction form
    754.84/1,132.47 = 267.76/x
  3. Step 3: Cross multiply
    754.84x = 1,132.47 × 267.76
  4. Step 4: Simplify right side
    754.84x = 303,230.17
  5. Step 5: Solve for x
    x = 303,230.17/754.84
  6. Step 6: Final answer
    x = 401.71

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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.