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Finding the Fourth Proportional to 796.10, 1,194.07 and 218.94

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Solution

The fourth proportional to 796.10, 1,194.07 and 218.94 is: 328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.10 : 1,194.07 = 218.94 : x
  2. Step 2: Convert to fraction form
    796.10/1,194.07 = 218.94/x
  3. Step 3: Cross multiply
    796.10x = 1,194.07 × 218.94
  4. Step 4: Simplify right side
    796.10x = 261,429.69
  5. Step 5: Solve for x
    x = 261,429.69/796.10
  6. Step 6: Final answer
    x = 328.39

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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.