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Finding the Fourth Proportional to 1,499.81, 2,253.78 and 769.89

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Solution

The fourth proportional to 1,499.81, 2,253.78 and 769.89 is: 1,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.81 : 2,253.78 = 769.89 : x
  2. Step 2: Convert to fraction form
    1,499.81/2,253.78 = 769.89/x
  3. Step 3: Cross multiply
    1,499.81x = 2,253.78 × 769.89
  4. Step 4: Simplify right side
    1,499.81x = 1,735,162.68
  5. Step 5: Solve for x
    x = 1,735,162.68/1,499.81
  6. Step 6: Final answer
    x = 1,156.93

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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.