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Finding the Fourth Proportional to 819.16, 1,233.60 and 746.80

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Solution

The fourth proportional to 819.16, 1,233.60 and 746.80 is: 1,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.16 : 1,233.60 = 746.80 : x
  2. Step 2: Convert to fraction form
    819.16/1,233.60 = 746.80/x
  3. Step 3: Cross multiply
    819.16x = 1,233.60 × 746.80
  4. Step 4: Simplify right side
    819.16x = 921,252.48
  5. Step 5: Solve for x
    x = 921,252.48/819.16
  6. Step 6: Final answer
    x = 1,124.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.