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Finding the Fourth Proportional to 1,144.06, 1,578.81 and 620.09

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Solution

The fourth proportional to 1,144.06, 1,578.81 and 620.09 is: 855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.06 : 1,578.81 = 620.09 : x
  2. Step 2: Convert to fraction form
    1,144.06/1,578.81 = 620.09/x
  3. Step 3: Cross multiply
    1,144.06x = 1,578.81 × 620.09
  4. Step 4: Simplify right side
    1,144.06x = 979,004.29
  5. Step 5: Solve for x
    x = 979,004.29/1,144.06
  6. Step 6: Final answer
    x = 855.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.