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Finding the Fourth Proportional to 995.87, 1,493.81 and 447.91

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Solution

The fourth proportional to 995.87, 1,493.81 and 447.91 is: 671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.87 : 1,493.81 = 447.91 : x
  2. Step 2: Convert to fraction form
    995.87/1,493.81 = 447.91/x
  3. Step 3: Cross multiply
    995.87x = 1,493.81 × 447.91
  4. Step 4: Simplify right side
    995.87x = 669,092.44
  5. Step 5: Solve for x
    x = 669,092.44/995.87
  6. Step 6: Final answer
    x = 671.87

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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.