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Finding the Fourth Proportional to 902.07, 1,244.19 and 622.39

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Solution

The fourth proportional to 902.07, 1,244.19 and 622.39 is: 858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.07 : 1,244.19 = 622.39 : x
  2. Step 2: Convert to fraction form
    902.07/1,244.19 = 622.39/x
  3. Step 3: Cross multiply
    902.07x = 1,244.19 × 622.39
  4. Step 4: Simplify right side
    902.07x = 774,371.41
  5. Step 5: Solve for x
    x = 774,371.41/902.07
  6. Step 6: Final answer
    x = 858.44

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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.