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Finding the Fourth Proportional to 1,321.26, 1,982.16 and 396.87

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Solution

The fourth proportional to 1,321.26, 1,982.16 and 396.87 is: 595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.26 : 1,982.16 = 396.87 : x
  2. Step 2: Convert to fraction form
    1,321.26/1,982.16 = 396.87/x
  3. Step 3: Cross multiply
    1,321.26x = 1,982.16 × 396.87
  4. Step 4: Simplify right side
    1,321.26x = 786,659.84
  5. Step 5: Solve for x
    x = 786,659.84/1,321.26
  6. Step 6: Final answer
    x = 595.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.