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Finding the Fourth Proportional to 850.98, 1,276.20 and 418.44

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Solution

The fourth proportional to 850.98, 1,276.20 and 418.44 is: 627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.98 : 1,276.20 = 418.44 : x
  2. Step 2: Convert to fraction form
    850.98/1,276.20 = 418.44/x
  3. Step 3: Cross multiply
    850.98x = 1,276.20 × 418.44
  4. Step 4: Simplify right side
    850.98x = 534,013.13
  5. Step 5: Solve for x
    x = 534,013.13/850.98
  6. Step 6: Final answer
    x = 627.53

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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.