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Finding the Fourth Proportional to 827.97, 1,142.34 and 496.47

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Solution

The fourth proportional to 827.97, 1,142.34 and 496.47 is: 684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.97 : 1,142.34 = 496.47 : x
  2. Step 2: Convert to fraction form
    827.97/1,142.34 = 496.47/x
  3. Step 3: Cross multiply
    827.97x = 1,142.34 × 496.47
  4. Step 4: Simplify right side
    827.97x = 567,137.54
  5. Step 5: Solve for x
    x = 567,137.54/827.97
  6. Step 6: Final answer
    x = 684.97

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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.