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Finding the Fourth Proportional to 927.68, 1,280.16 and 534.71

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Solution

The fourth proportional to 927.68, 1,280.16 and 534.71 is: 737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.68 : 1,280.16 = 534.71 : x
  2. Step 2: Convert to fraction form
    927.68/1,280.16 = 534.71/x
  3. Step 3: Cross multiply
    927.68x = 1,280.16 × 534.71
  4. Step 4: Simplify right side
    927.68x = 684,507.95
  5. Step 5: Solve for x
    x = 684,507.95/927.68
  6. Step 6: Final answer
    x = 737.87

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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.