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Finding the Fourth Proportional to 997.82, 1,496.89 and 449.99

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Solution

The fourth proportional to 997.82, 1,496.89 and 449.99 is: 675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.82 : 1,496.89 = 449.99 : x
  2. Step 2: Convert to fraction form
    997.82/1,496.89 = 449.99/x
  3. Step 3: Cross multiply
    997.82x = 1,496.89 × 449.99
  4. Step 4: Simplify right side
    997.82x = 673,578.05
  5. Step 5: Solve for x
    x = 673,578.05/997.82
  6. Step 6: Final answer
    x = 675.05

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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.