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Finding the Fourth Proportional to 969.09, 1,451.67 and 774.42

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Solution

The fourth proportional to 969.09, 1,451.67 and 774.42 is: 1,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.09 : 1,451.67 = 774.42 : x
  2. Step 2: Convert to fraction form
    969.09/1,451.67 = 774.42/x
  3. Step 3: Cross multiply
    969.09x = 1,451.67 × 774.42
  4. Step 4: Simplify right side
    969.09x = 1,124,202.28
  5. Step 5: Solve for x
    x = 1,124,202.28/969.09
  6. Step 6: Final answer
    x = 1,160.06

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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.