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Finding the Fourth Proportional to 927.29, 1,280.52 and 596.29

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Solution

The fourth proportional to 927.29, 1,280.52 and 596.29 is: 823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.29 : 1,280.52 = 596.29 : x
  2. Step 2: Convert to fraction form
    927.29/1,280.52 = 596.29/x
  3. Step 3: Cross multiply
    927.29x = 1,280.52 × 596.29
  4. Step 4: Simplify right side
    927.29x = 763,557.71
  5. Step 5: Solve for x
    x = 763,557.71/927.29
  6. Step 6: Final answer
    x = 823.43

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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.