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Finding the Fourth Proportional to 866.57, 1,299.85 and 484.25

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Solution

The fourth proportional to 866.57, 1,299.85 and 484.25 is: 726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.57 : 1,299.85 = 484.25 : x
  2. Step 2: Convert to fraction form
    866.57/1,299.85 = 484.25/x
  3. Step 3: Cross multiply
    866.57x = 1,299.85 × 484.25
  4. Step 4: Simplify right side
    866.57x = 629,444.65
  5. Step 5: Solve for x
    x = 629,444.65/866.57
  6. Step 6: Final answer
    x = 726.37

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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.