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Finding the Fourth Proportional to 789.64, 1,184.48 and 212.52

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Solution

The fourth proportional to 789.64, 1,184.48 and 212.52 is: 318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.64 : 1,184.48 = 212.52 : x
  2. Step 2: Convert to fraction form
    789.64/1,184.48 = 212.52/x
  3. Step 3: Cross multiply
    789.64x = 1,184.48 × 212.52
  4. Step 4: Simplify right side
    789.64x = 251,725.69
  5. Step 5: Solve for x
    x = 251,725.69/789.64
  6. Step 6: Final answer
    x = 318.79

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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.