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Finding the Fourth Proportional to 827.97, 1,241.96 and 280.16

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Solution

The fourth proportional to 827.97, 1,241.96 and 280.16 is: 420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.97 : 1,241.96 = 280.16 : x
  2. Step 2: Convert to fraction form
    827.97/1,241.96 = 280.16/x
  3. Step 3: Cross multiply
    827.97x = 1,241.96 × 280.16
  4. Step 4: Simplify right side
    827.97x = 347,939.90
  5. Step 5: Solve for x
    x = 347,939.90/827.97
  6. Step 6: Final answer
    x = 420.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.