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Finding the Fourth Proportional to 927.72, 1,280.25 and 534.78

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Solution

The fourth proportional to 927.72, 1,280.25 and 534.78 is: 737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.72 : 1,280.25 = 534.78 : x
  2. Step 2: Convert to fraction form
    927.72/1,280.25 = 534.78/x
  3. Step 3: Cross multiply
    927.72x = 1,280.25 × 534.78
  4. Step 4: Simplify right side
    927.72x = 684,652.10
  5. Step 5: Solve for x
    x = 684,652.10/927.72
  6. Step 6: Final answer
    x = 737.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.