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Finding the Fourth Proportional to 819.42, 1,116.60 and 816.54

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Solution

The fourth proportional to 819.42, 1,116.60 and 816.54 is: 1,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.42 : 1,116.60 = 816.54 : x
  2. Step 2: Convert to fraction form
    819.42/1,116.60 = 816.54/x
  3. Step 3: Cross multiply
    819.42x = 1,116.60 × 816.54
  4. Step 4: Simplify right side
    819.42x = 911,748.56
  5. Step 5: Solve for x
    x = 911,748.56/819.42
  6. Step 6: Final answer
    x = 1,112.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.