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Finding the Fourth Proportional to 996.23, 1,494.11 and 410.65

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Solution

The fourth proportional to 996.23, 1,494.11 and 410.65 is: 615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.23 : 1,494.11 = 410.65 : x
  2. Step 2: Convert to fraction form
    996.23/1,494.11 = 410.65/x
  3. Step 3: Cross multiply
    996.23x = 1,494.11 × 410.65
  4. Step 4: Simplify right side
    996.23x = 613,556.27
  5. Step 5: Solve for x
    x = 613,556.27/996.23
  6. Step 6: Final answer
    x = 615.88

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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.