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Finding the Fourth Proportional to 902.82, 1,355.22 and 578.46

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Solution

The fourth proportional to 902.82, 1,355.22 and 578.46 is: 868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.82 : 1,355.22 = 578.46 : x
  2. Step 2: Convert to fraction form
    902.82/1,355.22 = 578.46/x
  3. Step 3: Cross multiply
    902.82x = 1,355.22 × 578.46
  4. Step 4: Simplify right side
    902.82x = 783,940.56
  5. Step 5: Solve for x
    x = 783,940.56/902.82
  6. Step 6: Final answer
    x = 868.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.