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Finding the Fourth Proportional to 755.48, 1,132.76 and 261.71

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Solution

The fourth proportional to 755.48, 1,132.76 and 261.71 is: 392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.48 : 1,132.76 = 261.71 : x
  2. Step 2: Convert to fraction form
    755.48/1,132.76 = 261.71/x
  3. Step 3: Cross multiply
    755.48x = 1,132.76 × 261.71
  4. Step 4: Simplify right side
    755.48x = 296,454.62
  5. Step 5: Solve for x
    x = 296,454.62/755.48
  6. Step 6: Final answer
    x = 392.41

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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.