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Finding the Fourth Proportional to 1,321.83, 1,983.15 and 834.21

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Solution

The fourth proportional to 1,321.83, 1,983.15 and 834.21 is: 1,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.83 : 1,983.15 = 834.21 : x
  2. Step 2: Convert to fraction form
    1,321.83/1,983.15 = 834.21/x
  3. Step 3: Cross multiply
    1,321.83x = 1,983.15 × 834.21
  4. Step 4: Simplify right side
    1,321.83x = 1,654,363.56
  5. Step 5: Solve for x
    x = 1,654,363.56/1,321.83
  6. Step 6: Final answer
    x = 1,251.57

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1.5x scale

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.