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Finding the Fourth Proportional to 789.48, 1,184.12 and 327.68

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Solution

The fourth proportional to 789.48, 1,184.12 and 327.68 is: 491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.48 : 1,184.12 = 327.68 : x
  2. Step 2: Convert to fraction form
    789.48/1,184.12 = 327.68/x
  3. Step 3: Cross multiply
    789.48x = 1,184.12 × 327.68
  4. Step 4: Simplify right side
    789.48x = 388,010.55
  5. Step 5: Solve for x
    x = 388,010.55/789.48
  6. Step 6: Final answer
    x = 491.48

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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.