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Finding the Fourth Proportional to 1,321.96, 1,982.01 and 581.22

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Solution

The fourth proportional to 1,321.96, 1,982.01 and 581.22 is: 871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.96 : 1,982.01 = 581.22 : x
  2. Step 2: Convert to fraction form
    1,321.96/1,982.01 = 581.22/x
  3. Step 3: Cross multiply
    1,321.96x = 1,982.01 × 581.22
  4. Step 4: Simplify right side
    1,321.96x = 1,151,983.85
  5. Step 5: Solve for x
    x = 1,151,983.85/1,321.96
  6. Step 6: Final answer
    x = 871.42

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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.