Home / 1,288.24-1,932.45-422.26

Finding the Fourth Proportional to 1,288.24, 1,932.45 and 422.26

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Solution

The fourth proportional to 1,288.24, 1,932.45 and 422.26 is: 633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.24 : 1,932.45 = 422.26 : x
  2. Step 2: Convert to fraction form
    1,288.24/1,932.45 = 422.26/x
  3. Step 3: Cross multiply
    1,288.24x = 1,932.45 × 422.26
  4. Step 4: Simplify right side
    1,288.24x = 815,996.34
  5. Step 5: Solve for x
    x = 815,996.34/1,288.24
  6. Step 6: Final answer
    x = 633.42

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