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Finding the Fourth Proportional to 996.76, 1,493.92 and 448.80

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Solution

The fourth proportional to 996.76, 1,493.92 and 448.80 is: 672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.76 : 1,493.92 = 448.80 : x
  2. Step 2: Convert to fraction form
    996.76/1,493.92 = 448.80/x
  3. Step 3: Cross multiply
    996.76x = 1,493.92 × 448.80
  4. Step 4: Simplify right side
    996.76x = 670,471.30
  5. Step 5: Solve for x
    x = 670,471.30/996.76
  6. Step 6: Final answer
    x = 672.65

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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.