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Finding the Fourth Proportional to 1,349.11, 1,861.81 and 789.63

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Solution

The fourth proportional to 1,349.11, 1,861.81 and 789.63 is: 1,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.11 : 1,861.81 = 789.63 : x
  2. Step 2: Convert to fraction form
    1,349.11/1,861.81 = 789.63/x
  3. Step 3: Cross multiply
    1,349.11x = 1,861.81 × 789.63
  4. Step 4: Simplify right side
    1,349.11x = 1,470,136.20
  5. Step 5: Solve for x
    x = 1,470,136.20/1,349.11
  6. Step 6: Final answer
    x = 1,089.71

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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.