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Finding the Fourth Proportional to 819.78, 1,230.66 and 542.37

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Solution

The fourth proportional to 819.78, 1,230.66 and 542.37 is: 814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.78 : 1,230.66 = 542.37 : x
  2. Step 2: Convert to fraction form
    819.78/1,230.66 = 542.37/x
  3. Step 3: Cross multiply
    819.78x = 1,230.66 × 542.37
  4. Step 4: Simplify right side
    819.78x = 667,473.06
  5. Step 5: Solve for x
    x = 667,473.06/819.78
  6. Step 6: Final answer
    x = 814.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.