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Finding the Fourth Proportional to 838.73, 1,257.32 and 428.16

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Solution

The fourth proportional to 838.73, 1,257.32 and 428.16 is: 641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.73 : 1,257.32 = 428.16 : x
  2. Step 2: Convert to fraction form
    838.73/1,257.32 = 428.16/x
  3. Step 3: Cross multiply
    838.73x = 1,257.32 × 428.16
  4. Step 4: Simplify right side
    838.73x = 538,327.84
  5. Step 5: Solve for x
    x = 538,327.84/838.73
  6. Step 6: Final answer
    x = 641.84

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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.