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Finding the Fourth Proportional to 927.82, 1,280.31 and 578.38

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Solution

The fourth proportional to 927.82, 1,280.31 and 578.38 is: 798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.82 : 1,280.31 = 578.38 : x
  2. Step 2: Convert to fraction form
    927.82/1,280.31 = 578.38/x
  3. Step 3: Cross multiply
    927.82x = 1,280.31 × 578.38
  4. Step 4: Simplify right side
    927.82x = 740,505.70
  5. Step 5: Solve for x
    x = 740,505.70/927.82
  6. Step 6: Final answer
    x = 798.11

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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.