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Finding the Fourth Proportional to 1,499.12, 2,249.46 and 768.68

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Solution

The fourth proportional to 1,499.12, 2,249.46 and 768.68 is: 1,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.12 : 2,249.46 = 768.68 : x
  2. Step 2: Convert to fraction form
    1,499.12/2,249.46 = 768.68/x
  3. Step 3: Cross multiply
    1,499.12x = 2,249.46 × 768.68
  4. Step 4: Simplify right side
    1,499.12x = 1,729,114.91
  5. Step 5: Solve for x
    x = 1,729,114.91/1,499.12
  6. Step 6: Final answer
    x = 1,153.42

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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.