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Finding the Fourth Proportional to 1,320.43, 1,982.13 and 833.75

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Solution

The fourth proportional to 1,320.43, 1,982.13 and 833.75 is: 1,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.43 : 1,982.13 = 833.75 : x
  2. Step 2: Convert to fraction form
    1,320.43/1,982.13 = 833.75/x
  3. Step 3: Cross multiply
    1,320.43x = 1,982.13 × 833.75
  4. Step 4: Simplify right side
    1,320.43x = 1,652,600.89
  5. Step 5: Solve for x
    x = 1,652,600.89/1,320.43
  6. Step 6: Final answer
    x = 1,251.56

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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.