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Finding the Fourth Proportional to 967.44, 1,451.09 and 274.13

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Solution

The fourth proportional to 967.44, 1,451.09 and 274.13 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.44 : 1,451.09 = 274.13 : x
  2. Step 2: Convert to fraction form
    967.44/1,451.09 = 274.13/x
  3. Step 3: Cross multiply
    967.44x = 1,451.09 × 274.13
  4. Step 4: Simplify right side
    967.44x = 397,789.56
  5. Step 5: Solve for x
    x = 397,789.56/967.44
  6. Step 6: Final answer
    x = 411.18

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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.