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Finding the Fourth Proportional to 996.08, 1,493.64 and 447.92

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Solution

The fourth proportional to 996.08, 1,493.64 and 447.92 is: 671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.08 : 1,493.64 = 447.92 : x
  2. Step 2: Convert to fraction form
    996.08/1,493.64 = 447.92/x
  3. Step 3: Cross multiply
    996.08x = 1,493.64 × 447.92
  4. Step 4: Simplify right side
    996.08x = 669,031.23
  5. Step 5: Solve for x
    x = 669,031.23/996.08
  6. Step 6: Final answer
    x = 671.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.