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Finding the Fourth Proportional to 664.80, 997.20 and 639.60

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Solution

The fourth proportional to 664.80, 997.20 and 639.60 is: 959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.80 : 997.20 = 639.60 : x
  2. Step 2: Convert to fraction form
    664.80/997.20 = 639.60/x
  3. Step 3: Cross multiply
    664.80x = 997.20 × 639.60
  4. Step 4: Simplify right side
    664.80x = 637,809.12
  5. Step 5: Solve for x
    x = 637,809.12/664.80
  6. Step 6: Final answer
    x = 959.40

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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.