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Finding the Fourth Proportional to 796.56, 1,194.40 and 269.24

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Solution

The fourth proportional to 796.56, 1,194.40 and 269.24 is: 403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.56 : 1,194.40 = 269.24 : x
  2. Step 2: Convert to fraction form
    796.56/1,194.40 = 269.24/x
  3. Step 3: Cross multiply
    796.56x = 1,194.40 × 269.24
  4. Step 4: Simplify right side
    796.56x = 321,580.26
  5. Step 5: Solve for x
    x = 321,580.26/796.56
  6. Step 6: Final answer
    x = 403.71

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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.