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Finding the Fourth Proportional to 664.36, 994.92 and 644.92

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Solution

The fourth proportional to 664.36, 994.92 and 644.92 is: 965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.36 : 994.92 = 644.92 : x
  2. Step 2: Convert to fraction form
    664.36/994.92 = 644.92/x
  3. Step 3: Cross multiply
    664.36x = 994.92 × 644.92
  4. Step 4: Simplify right side
    664.36x = 641,638.90
  5. Step 5: Solve for x
    x = 641,638.90/664.36
  6. Step 6: Final answer
    x = 965.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.