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Finding the Fourth Proportional to 836.84, 1,255.38 and 682.40

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Solution

The fourth proportional to 836.84, 1,255.38 and 682.40 is: 1,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.84 : 1,255.38 = 682.40 : x
  2. Step 2: Convert to fraction form
    836.84/1,255.38 = 682.40/x
  3. Step 3: Cross multiply
    836.84x = 1,255.38 × 682.40
  4. Step 4: Simplify right side
    836.84x = 856,671.31
  5. Step 5: Solve for x
    x = 856,671.31/836.84
  6. Step 6: Final answer
    x = 1,023.70

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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.