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Finding the Fourth Proportional to 664.53, 995.43 and 533.82

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Solution

The fourth proportional to 664.53, 995.43 and 533.82 is: 799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 995.43 = 533.82 : x
  2. Step 2: Convert to fraction form
    664.53/995.43 = 533.82/x
  3. Step 3: Cross multiply
    664.53x = 995.43 × 533.82
  4. Step 4: Simplify right side
    664.53x = 531,380.32
  5. Step 5: Solve for x
    x = 531,380.32/664.53
  6. Step 6: Final answer
    x = 799.63

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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.