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Finding the Fourth Proportional to 996.14, 1,493.22 and 411.05

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Solution

The fourth proportional to 996.14, 1,493.22 and 411.05 is: 616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.14 : 1,493.22 = 411.05 : x
  2. Step 2: Convert to fraction form
    996.14/1,493.22 = 411.05/x
  3. Step 3: Cross multiply
    996.14x = 1,493.22 × 411.05
  4. Step 4: Simplify right side
    996.14x = 613,788.08
  5. Step 5: Solve for x
    x = 613,788.08/996.14
  6. Step 6: Final answer
    x = 616.17

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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.