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Finding the Fourth Proportional to 789.89, 1,184.69 and 212.63

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Solution

The fourth proportional to 789.89, 1,184.69 and 212.63 is: 318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.89 : 1,184.69 = 212.63 : x
  2. Step 2: Convert to fraction form
    789.89/1,184.69 = 212.63/x
  3. Step 3: Cross multiply
    789.89x = 1,184.69 × 212.63
  4. Step 4: Simplify right side
    789.89x = 251,895.24
  5. Step 5: Solve for x
    x = 251,895.24/789.89
  6. Step 6: Final answer
    x = 318.90

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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.