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Finding the Fourth Proportional to 828.32, 1,242.48 and 827.12

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Solution

The fourth proportional to 828.32, 1,242.48 and 827.12 is: 1,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.32 : 1,242.48 = 827.12 : x
  2. Step 2: Convert to fraction form
    828.32/1,242.48 = 827.12/x
  3. Step 3: Cross multiply
    828.32x = 1,242.48 × 827.12
  4. Step 4: Simplify right side
    828.32x = 1,027,680.06
  5. Step 5: Solve for x
    x = 1,027,680.06/828.32
  6. Step 6: Final answer
    x = 1,240.68

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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.