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Finding the Fourth Proportional to 1,524.78, 2,288.16 and 550.80

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Solution

The fourth proportional to 1,524.78, 2,288.16 and 550.80 is: 826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.78 : 2,288.16 = 550.80 : x
  2. Step 2: Convert to fraction form
    1,524.78/2,288.16 = 550.80/x
  3. Step 3: Cross multiply
    1,524.78x = 2,288.16 × 550.80
  4. Step 4: Simplify right side
    1,524.78x = 1,260,318.53
  5. Step 5: Solve for x
    x = 1,260,318.53/1,524.78
  6. Step 6: Final answer
    x = 826.56

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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.