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Finding the Fourth Proportional to 701.87, 968.63 and 422.17

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Solution

The fourth proportional to 701.87, 968.63 and 422.17 is: 582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.87 : 968.63 = 422.17 : x
  2. Step 2: Convert to fraction form
    701.87/968.63 = 422.17/x
  3. Step 3: Cross multiply
    701.87x = 968.63 × 422.17
  4. Step 4: Simplify right side
    701.87x = 408,921.99
  5. Step 5: Solve for x
    x = 408,921.99/701.87
  6. Step 6: Final answer
    x = 582.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.