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Finding the Fourth Proportional to 827.89, 1,142.07 and 496.24

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Solution

The fourth proportional to 827.89, 1,142.07 and 496.24 is: 684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.89 : 1,142.07 = 496.24 : x
  2. Step 2: Convert to fraction form
    827.89/1,142.07 = 496.24/x
  3. Step 3: Cross multiply
    827.89x = 1,142.07 × 496.24
  4. Step 4: Simplify right side
    827.89x = 566,735.11
  5. Step 5: Solve for x
    x = 566,735.11/827.89
  6. Step 6: Final answer
    x = 684.56

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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.