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Finding the Fourth Proportional to 768.50, 1,151.82 and 323.37

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Solution

The fourth proportional to 768.50, 1,151.82 and 323.37 is: 484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.50 : 1,151.82 = 323.37 : x
  2. Step 2: Convert to fraction form
    768.50/1,151.82 = 323.37/x
  3. Step 3: Cross multiply
    768.50x = 1,151.82 × 323.37
  4. Step 4: Simplify right side
    768.50x = 372,459.94
  5. Step 5: Solve for x
    x = 372,459.94/768.50
  6. Step 6: Final answer
    x = 484.66

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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.