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Finding the Fourth Proportional to 643.68, 966.60 and 638.64

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Solution

The fourth proportional to 643.68, 966.60 and 638.64 is: 959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.68 : 966.60 = 638.64 : x
  2. Step 2: Convert to fraction form
    643.68/966.60 = 638.64/x
  3. Step 3: Cross multiply
    643.68x = 966.60 × 638.64
  4. Step 4: Simplify right side
    643.68x = 617,309.42
  5. Step 5: Solve for x
    x = 617,309.42/643.68
  6. Step 6: Final answer
    x = 959.03

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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.