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Finding the Fourth Proportional to 827.85, 1,242.09 and 394.71

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Solution

The fourth proportional to 827.85, 1,242.09 and 394.71 is: 592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.85 : 1,242.09 = 394.71 : x
  2. Step 2: Convert to fraction form
    827.85/1,242.09 = 394.71/x
  3. Step 3: Cross multiply
    827.85x = 1,242.09 × 394.71
  4. Step 4: Simplify right side
    827.85x = 490,265.34
  5. Step 5: Solve for x
    x = 490,265.34/827.85
  6. Step 6: Final answer
    x = 592.22

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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.