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Finding the Fourth Proportional to 1,321.26, 1,982.19 and 704.64

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Solution

The fourth proportional to 1,321.26, 1,982.19 and 704.64 is: 1,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.26 : 1,982.19 = 704.64 : x
  2. Step 2: Convert to fraction form
    1,321.26/1,982.19 = 704.64/x
  3. Step 3: Cross multiply
    1,321.26x = 1,982.19 × 704.64
  4. Step 4: Simplify right side
    1,321.26x = 1,396,726.84
  5. Step 5: Solve for x
    x = 1,396,726.84/1,321.26
  6. Step 6: Final answer
    x = 1,057.12

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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.