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Finding the Fourth Proportional to 855.18, 1,286.42 and 774.99

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Solution

The fourth proportional to 855.18, 1,286.42 and 774.99 is: 1,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.18 : 1,286.42 = 774.99 : x
  2. Step 2: Convert to fraction form
    855.18/1,286.42 = 774.99/x
  3. Step 3: Cross multiply
    855.18x = 1,286.42 × 774.99
  4. Step 4: Simplify right side
    855.18x = 996,958.76
  5. Step 5: Solve for x
    x = 996,958.76/855.18
  6. Step 6: Final answer
    x = 1,165.79

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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.