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Finding the Fourth Proportional to 796.22, 1,194.23 and 276.12

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Solution

The fourth proportional to 796.22, 1,194.23 and 276.12 is: 414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.22 : 1,194.23 = 276.12 : x
  2. Step 2: Convert to fraction form
    796.22/1,194.23 = 276.12/x
  3. Step 3: Cross multiply
    796.22x = 1,194.23 × 276.12
  4. Step 4: Simplify right side
    796.22x = 329,751.48
  5. Step 5: Solve for x
    x = 329,751.48/796.22
  6. Step 6: Final answer
    x = 414.15

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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.