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Finding the Fourth Proportional to 996.42, 1,494.81 and 996.42

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Solution

The fourth proportional to 996.42, 1,494.81 and 996.42 is: 1,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.42 : 1,494.81 = 996.42 : x
  2. Step 2: Convert to fraction form
    996.42/1,494.81 = 996.42/x
  3. Step 3: Cross multiply
    996.42x = 1,494.81 × 996.42
  4. Step 4: Simplify right side
    996.42x = 1,489,458.58
  5. Step 5: Solve for x
    x = 1,489,458.58/996.42
  6. Step 6: Final answer
    x = 1,494.81

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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.