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Finding the Fourth Proportional to 965.97, 1,447.49 and 640.17

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Solution

The fourth proportional to 965.97, 1,447.49 and 640.17 is: 959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.97 : 1,447.49 = 640.17 : x
  2. Step 2: Convert to fraction form
    965.97/1,447.49 = 640.17/x
  3. Step 3: Cross multiply
    965.97x = 1,447.49 × 640.17
  4. Step 4: Simplify right side
    965.97x = 926,636.47
  5. Step 5: Solve for x
    x = 926,636.47/965.97
  6. Step 6: Final answer
    x = 959.28

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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.