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Finding the Fourth Proportional to 640.58, 961.74 and 629.64

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Solution

The fourth proportional to 640.58, 961.74 and 629.64 is: 945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.58 : 961.74 = 629.64 : x
  2. Step 2: Convert to fraction form
    640.58/961.74 = 629.64/x
  3. Step 3: Cross multiply
    640.58x = 961.74 × 629.64
  4. Step 4: Simplify right side
    640.58x = 605,549.97
  5. Step 5: Solve for x
    x = 605,549.97/640.58
  6. Step 6: Final answer
    x = 945.32

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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.