Home / 1,234.24-1,849.99-502.96

Finding the Fourth Proportional to 1,234.24, 1,849.99 and 502.96

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Solution

The fourth proportional to 1,234.24, 1,849.99 and 502.96 is: 753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.24 : 1,849.99 = 502.96 : x
  2. Step 2: Convert to fraction form
    1,234.24/1,849.99 = 502.96/x
  3. Step 3: Cross multiply
    1,234.24x = 1,849.99 × 502.96
  4. Step 4: Simplify right side
    1,234.24x = 930,470.97
  5. Step 5: Solve for x
    x = 930,470.97/1,234.24
  6. Step 6: Final answer
    x = 753.88

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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.