Home / 1,331.27-1,996.19-509.37

Finding the Fourth Proportional to 1,331.27, 1,996.19 and 509.37

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Solution

The fourth proportional to 1,331.27, 1,996.19 and 509.37 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.27 : 1,996.19 = 509.37 : x
  2. Step 2: Convert to fraction form
    1,331.27/1,996.19 = 509.37/x
  3. Step 3: Cross multiply
    1,331.27x = 1,996.19 × 509.37
  4. Step 4: Simplify right side
    1,331.27x = 1,016,799.30
  5. Step 5: Solve for x
    x = 1,016,799.30/1,331.27
  6. Step 6: Final answer
    x = 763.78

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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.