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Finding the Fourth Proportional to 1,322.83, 1,983.11 and 834.80

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Solution

The fourth proportional to 1,322.83, 1,983.11 and 834.80 is: 1,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.83 : 1,983.11 = 834.80 : x
  2. Step 2: Convert to fraction form
    1,322.83/1,983.11 = 834.80/x
  3. Step 3: Cross multiply
    1,322.83x = 1,983.11 × 834.80
  4. Step 4: Simplify right side
    1,322.83x = 1,655,507.27
  5. Step 5: Solve for x
    x = 1,655,507.27/1,322.83
  6. Step 6: Final answer
    x = 1,251.49

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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.