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Finding the Fourth Proportional to 664.80, 963 and 664.80

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Solution

The fourth proportional to 664.80, 963 and 664.80 is: 963.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.80 : 963 = 664.80 : x
  2. Step 2: Convert to fraction form
    664.80/963 = 664.80/x
  3. Step 3: Cross multiply
    664.80x = 963 × 664.80
  4. Step 4: Simplify right side
    664.80x = 640,202.40
  5. Step 5: Solve for x
    x = 640,202.40/664.80
  6. Step 6: Final answer
    x = 963.00

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.