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Finding the Fourth Proportional to 789.88, 1,184.88 and 212.75

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Solution

The fourth proportional to 789.88, 1,184.88 and 212.75 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.88 : 1,184.88 = 212.75 : x
  2. Step 2: Convert to fraction form
    789.88/1,184.88 = 212.75/x
  3. Step 3: Cross multiply
    789.88x = 1,184.88 × 212.75
  4. Step 4: Simplify right side
    789.88x = 252,083.22
  5. Step 5: Solve for x
    x = 252,083.22/789.88
  6. Step 6: Final answer
    x = 319.14

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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.