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Finding the Fourth Proportional to 1,286.81, 1,774.89 and 789.69

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Solution

The fourth proportional to 1,286.81, 1,774.89 and 789.69 is: 1,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.81 : 1,774.89 = 789.69 : x
  2. Step 2: Convert to fraction form
    1,286.81/1,774.89 = 789.69/x
  3. Step 3: Cross multiply
    1,286.81x = 1,774.89 × 789.69
  4. Step 4: Simplify right side
    1,286.81x = 1,401,600.06
  5. Step 5: Solve for x
    x = 1,401,600.06/1,286.81
  6. Step 6: Final answer
    x = 1,089.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.