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Finding the Fourth Proportional to 796.83, 1,195.08 and 219.57

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Solution

The fourth proportional to 796.83, 1,195.08 and 219.57 is: 329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.83 : 1,195.08 = 219.57 : x
  2. Step 2: Convert to fraction form
    796.83/1,195.08 = 219.57/x
  3. Step 3: Cross multiply
    796.83x = 1,195.08 × 219.57
  4. Step 4: Simplify right side
    796.83x = 262,403.72
  5. Step 5: Solve for x
    x = 262,403.72/796.83
  6. Step 6: Final answer
    x = 329.31

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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.