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Finding the Fourth Proportional to 789.35, 1,184.09 and 212.22

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Solution

The fourth proportional to 789.35, 1,184.09 and 212.22 is: 318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.35 : 1,184.09 = 212.22 : x
  2. Step 2: Convert to fraction form
    789.35/1,184.09 = 212.22/x
  3. Step 3: Cross multiply
    789.35x = 1,184.09 × 212.22
  4. Step 4: Simplify right side
    789.35x = 251,286.52
  5. Step 5: Solve for x
    x = 251,286.52/789.35
  6. Step 6: Final answer
    x = 318.35

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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.