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Finding the Fourth Proportional to 997.05, 1,494.43 and 881.72

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Solution

The fourth proportional to 997.05, 1,494.43 and 881.72 is: 1,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.05 : 1,494.43 = 881.72 : x
  2. Step 2: Convert to fraction form
    997.05/1,494.43 = 881.72/x
  3. Step 3: Cross multiply
    997.05x = 1,494.43 × 881.72
  4. Step 4: Simplify right side
    997.05x = 1,317,670.35
  5. Step 5: Solve for x
    x = 1,317,670.35/997.05
  6. Step 6: Final answer
    x = 1,321.56

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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.