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Finding the Fourth Proportional to 1,393.05, 2,086.89 and 774.89

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Solution

The fourth proportional to 1,393.05, 2,086.89 and 774.89 is: 1,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.05 : 2,086.89 = 774.89 : x
  2. Step 2: Convert to fraction form
    1,393.05/2,086.89 = 774.89/x
  3. Step 3: Cross multiply
    1,393.05x = 2,086.89 × 774.89
  4. Step 4: Simplify right side
    1,393.05x = 1,617,104.68
  5. Step 5: Solve for x
    x = 1,617,104.68/1,393.05
  6. Step 6: Final answer
    x = 1,160.83

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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.