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Finding the Fourth Proportional to 992.75, 1,488.68 and 299.30

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Solution

The fourth proportional to 992.75, 1,488.68 and 299.30 is: 448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.75 : 1,488.68 = 299.30 : x
  2. Step 2: Convert to fraction form
    992.75/1,488.68 = 299.30/x
  3. Step 3: Cross multiply
    992.75x = 1,488.68 × 299.30
  4. Step 4: Simplify right side
    992.75x = 445,552.98
  5. Step 5: Solve for x
    x = 445,552.98/992.75
  6. Step 6: Final answer
    x = 448.81

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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.