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Finding the Fourth Proportional to 1,023.80, 1,414.14 and 793.76

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Solution

The fourth proportional to 1,023.80, 1,414.14 and 793.76 is: 1,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.80 : 1,414.14 = 793.76 : x
  2. Step 2: Convert to fraction form
    1,023.80/1,414.14 = 793.76/x
  3. Step 3: Cross multiply
    1,023.80x = 1,414.14 × 793.76
  4. Step 4: Simplify right side
    1,023.80x = 1,122,487.77
  5. Step 5: Solve for x
    x = 1,122,487.77/1,023.80
  6. Step 6: Final answer
    x = 1,096.39

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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.