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Finding the Fourth Proportional to 755.92, 1,134.24 and 495.82

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Solution

The fourth proportional to 755.92, 1,134.24 and 495.82 is: 743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.92 : 1,134.24 = 495.82 : x
  2. Step 2: Convert to fraction form
    755.92/1,134.24 = 495.82/x
  3. Step 3: Cross multiply
    755.92x = 1,134.24 × 495.82
  4. Step 4: Simplify right side
    755.92x = 562,378.88
  5. Step 5: Solve for x
    x = 562,378.88/755.92
  6. Step 6: Final answer
    x = 743.97

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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.