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Finding the Fourth Proportional to 1,320.70, 1,822.78 and 796.80

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Solution

The fourth proportional to 1,320.70, 1,822.78 and 796.80 is: 1,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.70 : 1,822.78 = 796.80 : x
  2. Step 2: Convert to fraction form
    1,320.70/1,822.78 = 796.80/x
  3. Step 3: Cross multiply
    1,320.70x = 1,822.78 × 796.80
  4. Step 4: Simplify right side
    1,320.70x = 1,452,391.10
  5. Step 5: Solve for x
    x = 1,452,391.10/1,320.70
  6. Step 6: Final answer
    x = 1,099.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.