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Finding the Fourth Proportional to 927.96, 1,392.18 and 495

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Solution

The fourth proportional to 927.96, 1,392.18 and 495 is: 742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.96 : 1,392.18 = 495 : x
  2. Step 2: Convert to fraction form
    927.96/1,392.18 = 495/x
  3. Step 3: Cross multiply
    927.96x = 1,392.18 × 495
  4. Step 4: Simplify right side
    927.96x = 689,129.10
  5. Step 5: Solve for x
    x = 689,129.10/927.96
  6. Step 6: Final answer
    x = 742.63

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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.