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Finding the Fourth Proportional to 1,499.56, 2,249.78 and 769.66

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Solution

The fourth proportional to 1,499.56, 2,249.78 and 769.66 is: 1,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.56 : 2,249.78 = 769.66 : x
  2. Step 2: Convert to fraction form
    1,499.56/2,249.78 = 769.66/x
  3. Step 3: Cross multiply
    1,499.56x = 2,249.78 × 769.66
  4. Step 4: Simplify right side
    1,499.56x = 1,731,565.67
  5. Step 5: Solve for x
    x = 1,731,565.67/1,499.56
  6. Step 6: Final answer
    x = 1,154.72

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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.