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Finding the Fourth Proportional to 827.97, 1,142.57 and 496.44

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Solution

The fourth proportional to 827.97, 1,142.57 and 496.44 is: 685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.97 : 1,142.57 = 496.44 : x
  2. Step 2: Convert to fraction form
    827.97/1,142.57 = 496.44/x
  3. Step 3: Cross multiply
    827.97x = 1,142.57 × 496.44
  4. Step 4: Simplify right side
    827.97x = 567,214.97
  5. Step 5: Solve for x
    x = 567,214.97/827.97
  6. Step 6: Final answer
    x = 685.07

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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.