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Finding the Fourth Proportional to 891.16, 1,226.78 and 766.09

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Solution

The fourth proportional to 891.16, 1,226.78 and 766.09 is: 1,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.16 : 1,226.78 = 766.09 : x
  2. Step 2: Convert to fraction form
    891.16/1,226.78 = 766.09/x
  3. Step 3: Cross multiply
    891.16x = 1,226.78 × 766.09
  4. Step 4: Simplify right side
    891.16x = 939,816.99
  5. Step 5: Solve for x
    x = 939,816.99/891.16
  6. Step 6: Final answer
    x = 1,054.60

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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.