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Finding the Fourth Proportional to 827.86, 1,142.22 and 512.97

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Solution

The fourth proportional to 827.86, 1,142.22 and 512.97 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.86 : 1,142.22 = 512.97 : x
  2. Step 2: Convert to fraction form
    827.86/1,142.22 = 512.97/x
  3. Step 3: Cross multiply
    827.86x = 1,142.22 × 512.97
  4. Step 4: Simplify right side
    827.86x = 585,924.59
  5. Step 5: Solve for x
    x = 585,924.59/827.86
  6. Step 6: Final answer
    x = 707.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.