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Finding the Fourth Proportional to 927.52, 1,391.57 and 494.57

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Solution

The fourth proportional to 927.52, 1,391.57 and 494.57 is: 742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.52 : 1,391.57 = 494.57 : x
  2. Step 2: Convert to fraction form
    927.52/1,391.57 = 494.57/x
  3. Step 3: Cross multiply
    927.52x = 1,391.57 × 494.57
  4. Step 4: Simplify right side
    927.52x = 688,228.77
  5. Step 5: Solve for x
    x = 688,228.77/927.52
  6. Step 6: Final answer
    x = 742.01

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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.