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Finding the Fourth Proportional to 836.84, 1,255.50 and 684.23

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Solution

The fourth proportional to 836.84, 1,255.50 and 684.23 is: 1,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.84 : 1,255.50 = 684.23 : x
  2. Step 2: Convert to fraction form
    836.84/1,255.50 = 684.23/x
  3. Step 3: Cross multiply
    836.84x = 1,255.50 × 684.23
  4. Step 4: Simplify right side
    836.84x = 859,044.49
  5. Step 5: Solve for x
    x = 859,044.49/836.84
  6. Step 6: Final answer
    x = 1,026.54

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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.