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Finding the Fourth Proportional to 1,142.91, 1,576.94 and 789.14

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Solution

The fourth proportional to 1,142.91, 1,576.94 and 789.14 is: 1,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.91 : 1,576.94 = 789.14 : x
  2. Step 2: Convert to fraction form
    1,142.91/1,576.94 = 789.14/x
  3. Step 3: Cross multiply
    1,142.91x = 1,576.94 × 789.14
  4. Step 4: Simplify right side
    1,142.91x = 1,244,426.43
  5. Step 5: Solve for x
    x = 1,244,426.43/1,142.91
  6. Step 6: Final answer
    x = 1,088.82

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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.