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Finding the Fourth Proportional to 827.70, 1,142 and 496.26

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Solution

The fourth proportional to 827.70, 1,142 and 496.26 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.70 : 1,142 = 496.26 : x
  2. Step 2: Convert to fraction form
    827.70/1,142 = 496.26/x
  3. Step 3: Cross multiply
    827.70x = 1,142 × 496.26
  4. Step 4: Simplify right side
    827.70x = 566,728.92
  5. Step 5: Solve for x
    x = 566,728.92/827.70
  6. Step 6: Final answer
    x = 684.70

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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.