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Finding the Fourth Proportional to 827.62, 1,142.57 and 496.13

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Solution

The fourth proportional to 827.62, 1,142.57 and 496.13 is: 684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.62 : 1,142.57 = 496.13 : x
  2. Step 2: Convert to fraction form
    827.62/1,142.57 = 496.13/x
  3. Step 3: Cross multiply
    827.62x = 1,142.57 × 496.13
  4. Step 4: Simplify right side
    827.62x = 566,858.78
  5. Step 5: Solve for x
    x = 566,858.78/827.62
  6. Step 6: Final answer
    x = 684.93

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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.