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Finding the Fourth Proportional to 927.84, 1,392.24 and 495

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Solution

The fourth proportional to 927.84, 1,392.24 and 495 is: 742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.84 : 1,392.24 = 495 : x
  2. Step 2: Convert to fraction form
    927.84/1,392.24 = 495/x
  3. Step 3: Cross multiply
    927.84x = 1,392.24 × 495
  4. Step 4: Simplify right side
    927.84x = 689,158.80
  5. Step 5: Solve for x
    x = 689,158.80/927.84
  6. Step 6: Final answer
    x = 742.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.