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Finding the Fourth Proportional to 884.40, 1,220.76 and 622.48

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Solution

The fourth proportional to 884.40, 1,220.76 and 622.48 is: 859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.40 : 1,220.76 = 622.48 : x
  2. Step 2: Convert to fraction form
    884.40/1,220.76 = 622.48/x
  3. Step 3: Cross multiply
    884.40x = 1,220.76 × 622.48
  4. Step 4: Simplify right side
    884.40x = 759,898.68
  5. Step 5: Solve for x
    x = 759,898.68/884.40
  6. Step 6: Final answer
    x = 859.23

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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.