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Finding the Fourth Proportional to 1,144.07, 1,578.81 and 620.11

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Solution

The fourth proportional to 1,144.07, 1,578.81 and 620.11 is: 855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.07 : 1,578.81 = 620.11 : x
  2. Step 2: Convert to fraction form
    1,144.07/1,578.81 = 620.11/x
  3. Step 3: Cross multiply
    1,144.07x = 1,578.81 × 620.11
  4. Step 4: Simplify right side
    1,144.07x = 979,027.98
  5. Step 5: Solve for x
    x = 979,027.98/1,144.07
  6. Step 6: Final answer
    x = 855.74

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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.