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Finding the Fourth Proportional to 1,279.32, 1,918.36 and 585.78

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Solution

The fourth proportional to 1,279.32, 1,918.36 and 585.78 is: 878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.32 : 1,918.36 = 585.78 : x
  2. Step 2: Convert to fraction form
    1,279.32/1,918.36 = 585.78/x
  3. Step 3: Cross multiply
    1,279.32x = 1,918.36 × 585.78
  4. Step 4: Simplify right side
    1,279.32x = 1,123,736.92
  5. Step 5: Solve for x
    x = 1,123,736.92/1,279.32
  6. Step 6: Final answer
    x = 878.39

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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.