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Finding the Fourth Proportional to 1,321.31, 1,982.06 and 396.84

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Solution

The fourth proportional to 1,321.31, 1,982.06 and 396.84 is: 595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.31 : 1,982.06 = 396.84 : x
  2. Step 2: Convert to fraction form
    1,321.31/1,982.06 = 396.84/x
  3. Step 3: Cross multiply
    1,321.31x = 1,982.06 × 396.84
  4. Step 4: Simplify right side
    1,321.31x = 786,558.71
  5. Step 5: Solve for x
    x = 786,558.71/1,321.31
  6. Step 6: Final answer
    x = 595.29

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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.