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Finding the Fourth Proportional to 1,441.87, 2,163.35 and 576.25

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Solution

The fourth proportional to 1,441.87, 2,163.35 and 576.25 is: 864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.87 : 2,163.35 = 576.25 : x
  2. Step 2: Convert to fraction form
    1,441.87/2,163.35 = 576.25/x
  3. Step 3: Cross multiply
    1,441.87x = 2,163.35 × 576.25
  4. Step 4: Simplify right side
    1,441.87x = 1,246,630.44
  5. Step 5: Solve for x
    x = 1,246,630.44/1,441.87
  6. Step 6: Final answer
    x = 864.59

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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.