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Finding the Fourth Proportional to 992.62, 1,489.14 and 299.24

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Solution

The fourth proportional to 992.62, 1,489.14 and 299.24 is: 448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.62 : 1,489.14 = 299.24 : x
  2. Step 2: Convert to fraction form
    992.62/1,489.14 = 299.24/x
  3. Step 3: Cross multiply
    992.62x = 1,489.14 × 299.24
  4. Step 4: Simplify right side
    992.62x = 445,610.25
  5. Step 5: Solve for x
    x = 445,610.25/992.62
  6. Step 6: Final answer
    x = 448.92

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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.