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Finding the Fourth Proportional to 1,279.54, 1,919.33 and 843.59

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Solution

The fourth proportional to 1,279.54, 1,919.33 and 843.59 is: 1,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.54 : 1,919.33 = 843.59 : x
  2. Step 2: Convert to fraction form
    1,279.54/1,919.33 = 843.59/x
  3. Step 3: Cross multiply
    1,279.54x = 1,919.33 × 843.59
  4. Step 4: Simplify right side
    1,279.54x = 1,619,113.78
  5. Step 5: Solve for x
    x = 1,619,113.78/1,279.54
  6. Step 6: Final answer
    x = 1,265.39

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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.