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Finding the Fourth Proportional to 905.84, 1,361.28 and 884

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Solution

The fourth proportional to 905.84, 1,361.28 and 884 is: 1,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,361.28 = 884 : x
  2. Step 2: Convert to fraction form
    905.84/1,361.28 = 884/x
  3. Step 3: Cross multiply
    905.84x = 1,361.28 × 884
  4. Step 4: Simplify right side
    905.84x = 1,203,371.52
  5. Step 5: Solve for x
    x = 1,203,371.52/905.84
  6. Step 6: Final answer
    x = 1,328.46

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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.