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Finding the Fourth Proportional to 837.67, 1,257.28 and 427.11

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Solution

The fourth proportional to 837.67, 1,257.28 and 427.11 is: 641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.67 : 1,257.28 = 427.11 : x
  2. Step 2: Convert to fraction form
    837.67/1,257.28 = 427.11/x
  3. Step 3: Cross multiply
    837.67x = 1,257.28 × 427.11
  4. Step 4: Simplify right side
    837.67x = 536,994.73
  5. Step 5: Solve for x
    x = 536,994.73/837.67
  6. Step 6: Final answer
    x = 641.06

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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.