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Finding the Fourth Proportional to 891.60, 1,229.40 and 793.20

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Solution

The fourth proportional to 891.60, 1,229.40 and 793.20 is: 1,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.60 : 1,229.40 = 793.20 : x
  2. Step 2: Convert to fraction form
    891.60/1,229.40 = 793.20/x
  3. Step 3: Cross multiply
    891.60x = 1,229.40 × 793.20
  4. Step 4: Simplify right side
    891.60x = 975,160.08
  5. Step 5: Solve for x
    x = 975,160.08/891.60
  6. Step 6: Final answer
    x = 1,093.72

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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.