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Finding the Fourth Proportional to 827.92, 1,142.56 and 496.29

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Solution

The fourth proportional to 827.92, 1,142.56 and 496.29 is: 684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.92 : 1,142.56 = 496.29 : x
  2. Step 2: Convert to fraction form
    827.92/1,142.56 = 496.29/x
  3. Step 3: Cross multiply
    827.92x = 1,142.56 × 496.29
  4. Step 4: Simplify right side
    827.92x = 567,035.39
  5. Step 5: Solve for x
    x = 567,035.39/827.92
  6. Step 6: Final answer
    x = 684.89

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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.