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Finding the Fourth Proportional to 996.12, 1,493.61 and 410.43

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Solution

The fourth proportional to 996.12, 1,493.61 and 410.43 is: 615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.12 : 1,493.61 = 410.43 : x
  2. Step 2: Convert to fraction form
    996.12/1,493.61 = 410.43/x
  3. Step 3: Cross multiply
    996.12x = 1,493.61 × 410.43
  4. Step 4: Simplify right side
    996.12x = 613,022.35
  5. Step 5: Solve for x
    x = 613,022.35/996.12
  6. Step 6: Final answer
    x = 615.41

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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.