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Finding the Fourth Proportional to 796.53, 1,194.77 and 219.39

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Solution

The fourth proportional to 796.53, 1,194.77 and 219.39 is: 329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.53 : 1,194.77 = 219.39 : x
  2. Step 2: Convert to fraction form
    796.53/1,194.77 = 219.39/x
  3. Step 3: Cross multiply
    796.53x = 1,194.77 × 219.39
  4. Step 4: Simplify right side
    796.53x = 262,119.49
  5. Step 5: Solve for x
    x = 262,119.49/796.53
  6. Step 6: Final answer
    x = 329.08

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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.