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Finding the Fourth Proportional to 827.74, 1,242.33 and 584.86

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Solution

The fourth proportional to 827.74, 1,242.33 and 584.86 is: 877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.74 : 1,242.33 = 584.86 : x
  2. Step 2: Convert to fraction form
    827.74/1,242.33 = 584.86/x
  3. Step 3: Cross multiply
    827.74x = 1,242.33 × 584.86
  4. Step 4: Simplify right side
    827.74x = 726,589.12
  5. Step 5: Solve for x
    x = 726,589.12/827.74
  6. Step 6: Final answer
    x = 877.80

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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.