Home / 1,192.28-1,789.22-422.76

Finding the Fourth Proportional to 1,192.28, 1,789.22 and 422.76

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Solution

The fourth proportional to 1,192.28, 1,789.22 and 422.76 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.28 : 1,789.22 = 422.76 : x
  2. Step 2: Convert to fraction form
    1,192.28/1,789.22 = 422.76/x
  3. Step 3: Cross multiply
    1,192.28x = 1,789.22 × 422.76
  4. Step 4: Simplify right side
    1,192.28x = 756,410.65
  5. Step 5: Solve for x
    x = 756,410.65/1,192.28
  6. Step 6: Final answer
    x = 634.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.