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Finding the Fourth Proportional to 819.74, 1,121.55 and 816.29

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Solution

The fourth proportional to 819.74, 1,121.55 and 816.29 is: 1,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.74 : 1,121.55 = 816.29 : x
  2. Step 2: Convert to fraction form
    819.74/1,121.55 = 816.29/x
  3. Step 3: Cross multiply
    819.74x = 1,121.55 × 816.29
  4. Step 4: Simplify right side
    819.74x = 915,504.44
  5. Step 5: Solve for x
    x = 915,504.44/819.74
  6. Step 6: Final answer
    x = 1,116.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.