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Finding the Fourth Proportional to 865.22, 1,194.82 and 819.18

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Solution

The fourth proportional to 865.22, 1,194.82 and 819.18 is: 1,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.22 : 1,194.82 = 819.18 : x
  2. Step 2: Convert to fraction form
    865.22/1,194.82 = 819.18/x
  3. Step 3: Cross multiply
    865.22x = 1,194.82 × 819.18
  4. Step 4: Simplify right side
    865.22x = 978,770.60
  5. Step 5: Solve for x
    x = 978,770.60/865.22
  6. Step 6: Final answer
    x = 1,131.25

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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.