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Finding the Fourth Proportional to 1,321.87, 1,982.23 and 705.44

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Solution

The fourth proportional to 1,321.87, 1,982.23 and 705.44 is: 1,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.87 : 1,982.23 = 705.44 : x
  2. Step 2: Convert to fraction form
    1,321.87/1,982.23 = 705.44/x
  3. Step 3: Cross multiply
    1,321.87x = 1,982.23 × 705.44
  4. Step 4: Simplify right side
    1,321.87x = 1,398,330.89
  5. Step 5: Solve for x
    x = 1,398,330.89/1,321.87
  6. Step 6: Final answer
    x = 1,057.84

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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.