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Finding the Fourth Proportional to 906.85, 1,242.73 and 819.37

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Solution

The fourth proportional to 906.85, 1,242.73 and 819.37 is: 1,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.85 : 1,242.73 = 819.37 : x
  2. Step 2: Convert to fraction form
    906.85/1,242.73 = 819.37/x
  3. Step 3: Cross multiply
    906.85x = 1,242.73 × 819.37
  4. Step 4: Simplify right side
    906.85x = 1,018,249.47
  5. Step 5: Solve for x
    x = 1,018,249.47/906.85
  6. Step 6: Final answer
    x = 1,122.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.