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Finding the Fourth Proportional to 908.38, 1,252.82 and 609.68

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Solution

The fourth proportional to 908.38, 1,252.82 and 609.68 is: 840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.38 : 1,252.82 = 609.68 : x
  2. Step 2: Convert to fraction form
    908.38/1,252.82 = 609.68/x
  3. Step 3: Cross multiply
    908.38x = 1,252.82 × 609.68
  4. Step 4: Simplify right side
    908.38x = 763,823.95
  5. Step 5: Solve for x
    x = 763,823.95/908.38
  6. Step 6: Final answer
    x = 840.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.