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Finding the Fourth Proportional to 838.28, 1,257.62 and 427.43

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Solution

The fourth proportional to 838.28, 1,257.62 and 427.43 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.28 : 1,257.62 = 427.43 : x
  2. Step 2: Convert to fraction form
    838.28/1,257.62 = 427.43/x
  3. Step 3: Cross multiply
    838.28x = 1,257.62 × 427.43
  4. Step 4: Simplify right side
    838.28x = 537,544.52
  5. Step 5: Solve for x
    x = 537,544.52/838.28
  6. Step 6: Final answer
    x = 641.25

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