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Finding the Fourth Proportional to 902.56, 1,245.64 and 622.72

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Solution

The fourth proportional to 902.56, 1,245.64 and 622.72 is: 859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.56 : 1,245.64 = 622.72 : x
  2. Step 2: Convert to fraction form
    902.56/1,245.64 = 622.72/x
  3. Step 3: Cross multiply
    902.56x = 1,245.64 × 622.72
  4. Step 4: Simplify right side
    902.56x = 775,684.94
  5. Step 5: Solve for x
    x = 775,684.94/902.56
  6. Step 6: Final answer
    x = 859.43

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Why These Related Problems?

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