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Finding the Fourth Proportional to 836.79, 1,255.68 and 794.58

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Solution

The fourth proportional to 836.79, 1,255.68 and 794.58 is: 1,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.79 : 1,255.68 = 794.58 : x
  2. Step 2: Convert to fraction form
    836.79/1,255.68 = 794.58/x
  3. Step 3: Cross multiply
    836.79x = 1,255.68 × 794.58
  4. Step 4: Simplify right side
    836.79x = 997,738.21
  5. Step 5: Solve for x
    x = 997,738.21/836.79
  6. Step 6: Final answer
    x = 1,192.34

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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.