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Finding the Fourth Proportional to 1,321.66, 1,982.82 and 397.21

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Solution

The fourth proportional to 1,321.66, 1,982.82 and 397.21 is: 595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.66 : 1,982.82 = 397.21 : x
  2. Step 2: Convert to fraction form
    1,321.66/1,982.82 = 397.21/x
  3. Step 3: Cross multiply
    1,321.66x = 1,982.82 × 397.21
  4. Step 4: Simplify right side
    1,321.66x = 787,595.93
  5. Step 5: Solve for x
    x = 787,595.93/1,321.66
  6. Step 6: Final answer
    x = 595.91

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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.