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Finding the Fourth Proportional to 827.96, 1,242.84 and 481.68

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Solution

The fourth proportional to 827.96, 1,242.84 and 481.68 is: 723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.96 : 1,242.84 = 481.68 : x
  2. Step 2: Convert to fraction form
    827.96/1,242.84 = 481.68/x
  3. Step 3: Cross multiply
    827.96x = 1,242.84 × 481.68
  4. Step 4: Simplify right side
    827.96x = 598,651.17
  5. Step 5: Solve for x
    x = 598,651.17/827.96
  6. Step 6: Final answer
    x = 723.04

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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.