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Finding the Fourth Proportional to 908.28, 1,361.16 and 786.24

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Solution

The fourth proportional to 908.28, 1,361.16 and 786.24 is: 1,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.28 : 1,361.16 = 786.24 : x
  2. Step 2: Convert to fraction form
    908.28/1,361.16 = 786.24/x
  3. Step 3: Cross multiply
    908.28x = 1,361.16 × 786.24
  4. Step 4: Simplify right side
    908.28x = 1,070,198.44
  5. Step 5: Solve for x
    x = 1,070,198.44/908.28
  6. Step 6: Final answer
    x = 1,178.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.