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Finding the Fourth Proportional to 837.29, 1,256.16 and 664.61

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Solution

The fourth proportional to 837.29, 1,256.16 and 664.61 is: 997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.29 : 1,256.16 = 664.61 : x
  2. Step 2: Convert to fraction form
    837.29/1,256.16 = 664.61/x
  3. Step 3: Cross multiply
    837.29x = 1,256.16 × 664.61
  4. Step 4: Simplify right side
    837.29x = 834,848.97
  5. Step 5: Solve for x
    x = 834,848.97/837.29
  6. Step 6: Final answer
    x = 997.09

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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.