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Finding the Fourth Proportional to 1,279.62, 1,919.52 and 355.19

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Solution

The fourth proportional to 1,279.62, 1,919.52 and 355.19 is: 532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.62 : 1,919.52 = 355.19 : x
  2. Step 2: Convert to fraction form
    1,279.62/1,919.52 = 355.19/x
  3. Step 3: Cross multiply
    1,279.62x = 1,919.52 × 355.19
  4. Step 4: Simplify right side
    1,279.62x = 681,784.71
  5. Step 5: Solve for x
    x = 681,784.71/1,279.62
  6. Step 6: Final answer
    x = 532.80

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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.