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Finding the Fourth Proportional to 927.65, 1,280.27 and 596.15

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Solution

The fourth proportional to 927.65, 1,280.27 and 596.15 is: 822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.65 : 1,280.27 = 596.15 : x
  2. Step 2: Convert to fraction form
    927.65/1,280.27 = 596.15/x
  3. Step 3: Cross multiply
    927.65x = 1,280.27 × 596.15
  4. Step 4: Simplify right side
    927.65x = 763,223.58
  5. Step 5: Solve for x
    x = 763,223.58/927.65
  6. Step 6: Final answer
    x = 822.75

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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.