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Finding the Fourth Proportional to 992.70, 1,489.19 and 299.43

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Solution

The fourth proportional to 992.70, 1,489.19 and 299.43 is: 449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.70 : 1,489.19 = 299.43 : x
  2. Step 2: Convert to fraction form
    992.70/1,489.19 = 299.43/x
  3. Step 3: Cross multiply
    992.70x = 1,489.19 × 299.43
  4. Step 4: Simplify right side
    992.70x = 445,906.66
  5. Step 5: Solve for x
    x = 445,906.66/992.70
  6. Step 6: Final answer
    x = 449.19

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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.