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Finding the Fourth Proportional to 1,086.95, 1,626.78 and 822.69

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Solution

The fourth proportional to 1,086.95, 1,626.78 and 822.69 is: 1,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.95 : 1,626.78 = 822.69 : x
  2. Step 2: Convert to fraction form
    1,086.95/1,626.78 = 822.69/x
  3. Step 3: Cross multiply
    1,086.95x = 1,626.78 × 822.69
  4. Step 4: Simplify right side
    1,086.95x = 1,338,338.72
  5. Step 5: Solve for x
    x = 1,338,338.72/1,086.95
  6. Step 6: Final answer
    x = 1,231.28

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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.