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Finding the Fourth Proportional to 927.91, 1,280.52 and 534.97

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Solution

The fourth proportional to 927.91, 1,280.52 and 534.97 is: 738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.91 : 1,280.52 = 534.97 : x
  2. Step 2: Convert to fraction form
    927.91/1,280.52 = 534.97/x
  3. Step 3: Cross multiply
    927.91x = 1,280.52 × 534.97
  4. Step 4: Simplify right side
    927.91x = 685,039.78
  5. Step 5: Solve for x
    x = 685,039.78/927.91
  6. Step 6: Final answer
    x = 738.26

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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.