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Finding the Fourth Proportional to 836.46, 1,245.85 and 792.54

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Solution

The fourth proportional to 836.46, 1,245.85 and 792.54 is: 1,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.46 : 1,245.85 = 792.54 : x
  2. Step 2: Convert to fraction form
    836.46/1,245.85 = 792.54/x
  3. Step 3: Cross multiply
    836.46x = 1,245.85 × 792.54
  4. Step 4: Simplify right side
    836.46x = 987,383.98
  5. Step 5: Solve for x
    x = 987,383.98/836.46
  6. Step 6: Final answer
    x = 1,180.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.