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Finding the Fourth Proportional to 1,499.33, 2,249.06 and 768.71

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Solution

The fourth proportional to 1,499.33, 2,249.06 and 768.71 is: 1,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.33 : 2,249.06 = 768.71 : x
  2. Step 2: Convert to fraction form
    1,499.33/2,249.06 = 768.71/x
  3. Step 3: Cross multiply
    1,499.33x = 2,249.06 × 768.71
  4. Step 4: Simplify right side
    1,499.33x = 1,728,859.82
  5. Step 5: Solve for x
    x = 1,728,859.82/1,499.33
  6. Step 6: Final answer
    x = 1,153.09

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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.