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Finding the Fourth Proportional to 827.62, 1,142.18 and 547.37

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Solution

The fourth proportional to 827.62, 1,142.18 and 547.37 is: 755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.62 : 1,142.18 = 547.37 : x
  2. Step 2: Convert to fraction form
    827.62/1,142.18 = 547.37/x
  3. Step 3: Cross multiply
    827.62x = 1,142.18 × 547.37
  4. Step 4: Simplify right side
    827.62x = 625,192.33
  5. Step 5: Solve for x
    x = 625,192.33/827.62
  6. Step 6: Final answer
    x = 755.41

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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.