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Finding the Fourth Proportional to 1,279.80, 1,919.62 and 402.28

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Solution

The fourth proportional to 1,279.80, 1,919.62 and 402.28 is: 603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.80 : 1,919.62 = 402.28 : x
  2. Step 2: Convert to fraction form
    1,279.80/1,919.62 = 402.28/x
  3. Step 3: Cross multiply
    1,279.80x = 1,919.62 × 402.28
  4. Step 4: Simplify right side
    1,279.80x = 772,224.73
  5. Step 5: Solve for x
    x = 772,224.73/1,279.80
  6. Step 6: Final answer
    x = 603.39

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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.