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Finding the Fourth Proportional to 827.96, 1,242.11 and 280.13

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Solution

The fourth proportional to 827.96, 1,242.11 and 280.13 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.96 : 1,242.11 = 280.13 : x
  2. Step 2: Convert to fraction form
    827.96/1,242.11 = 280.13/x
  3. Step 3: Cross multiply
    827.96x = 1,242.11 × 280.13
  4. Step 4: Simplify right side
    827.96x = 347,956.08
  5. Step 5: Solve for x
    x = 347,956.08/827.96
  6. Step 6: Final answer
    x = 420.26

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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.