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Finding the Fourth Proportional to 996.26, 1,494.87 and 448.82

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Solution

The fourth proportional to 996.26, 1,494.87 and 448.82 is: 673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.26 : 1,494.87 = 448.82 : x
  2. Step 2: Convert to fraction form
    996.26/1,494.87 = 448.82/x
  3. Step 3: Cross multiply
    996.26x = 1,494.87 × 448.82
  4. Step 4: Simplify right side
    996.26x = 670,927.55
  5. Step 5: Solve for x
    x = 670,927.55/996.26
  6. Step 6: Final answer
    x = 673.45

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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.