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Finding the Fourth Proportional to 982.33, 1,470.98 and 819.61

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Solution

The fourth proportional to 982.33, 1,470.98 and 819.61 is: 1,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.33 : 1,470.98 = 819.61 : x
  2. Step 2: Convert to fraction form
    982.33/1,470.98 = 819.61/x
  3. Step 3: Cross multiply
    982.33x = 1,470.98 × 819.61
  4. Step 4: Simplify right side
    982.33x = 1,205,625.82
  5. Step 5: Solve for x
    x = 1,205,625.82/982.33
  6. Step 6: Final answer
    x = 1,227.31

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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.