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Finding the Fourth Proportional to 728.53, 1,003.17 and 622.82

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Solution

The fourth proportional to 728.53, 1,003.17 and 622.82 is: 857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.53 : 1,003.17 = 622.82 : x
  2. Step 2: Convert to fraction form
    728.53/1,003.17 = 622.82/x
  3. Step 3: Cross multiply
    728.53x = 1,003.17 × 622.82
  4. Step 4: Simplify right side
    728.53x = 624,794.34
  5. Step 5: Solve for x
    x = 624,794.34/728.53
  6. Step 6: Final answer
    x = 857.61

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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.