Home / 1,399.20-1,930.92-769.75

Finding the Fourth Proportional to 1,399.20, 1,930.92 and 769.75

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Solution

The fourth proportional to 1,399.20, 1,930.92 and 769.75 is: 1,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.20 : 1,930.92 = 769.75 : x
  2. Step 2: Convert to fraction form
    1,399.20/1,930.92 = 769.75/x
  3. Step 3: Cross multiply
    1,399.20x = 1,930.92 × 769.75
  4. Step 4: Simplify right side
    1,399.20x = 1,486,321.82
  5. Step 5: Solve for x
    x = 1,486,321.82/1,399.20
  6. Step 6: Final answer
    x = 1,062.27

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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.