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Finding the Fourth Proportional to 664.47, 997.82 and 499.94

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Solution

The fourth proportional to 664.47, 997.82 and 499.94 is: 750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.47 : 997.82 = 499.94 : x
  2. Step 2: Convert to fraction form
    664.47/997.82 = 499.94/x
  3. Step 3: Cross multiply
    664.47x = 997.82 × 499.94
  4. Step 4: Simplify right side
    664.47x = 498,848.26
  5. Step 5: Solve for x
    x = 498,848.26/664.47
  6. Step 6: Final answer
    x = 750.75

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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.