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Finding the Fourth Proportional to 1,280.26, 1,922.82 and 796.69

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Solution

The fourth proportional to 1,280.26, 1,922.82 and 796.69 is: 1,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.26 : 1,922.82 = 796.69 : x
  2. Step 2: Convert to fraction form
    1,280.26/1,922.82 = 796.69/x
  3. Step 3: Cross multiply
    1,280.26x = 1,922.82 × 796.69
  4. Step 4: Simplify right side
    1,280.26x = 1,531,886.66
  5. Step 5: Solve for x
    x = 1,531,886.66/1,280.26
  6. Step 6: Final answer
    x = 1,196.55

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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.