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Finding the Fourth Proportional to 969.38, 1,454.12 and 276.05

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Solution

The fourth proportional to 969.38, 1,454.12 and 276.05 is: 414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.38 : 1,454.12 = 276.05 : x
  2. Step 2: Convert to fraction form
    969.38/1,454.12 = 276.05/x
  3. Step 3: Cross multiply
    969.38x = 1,454.12 × 276.05
  4. Step 4: Simplify right side
    969.38x = 401,409.83
  5. Step 5: Solve for x
    x = 401,409.83/969.38
  6. Step 6: Final answer
    x = 414.09

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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.