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Finding the Fourth Proportional to 838.33, 1,251.84 and 684.55

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Solution

The fourth proportional to 838.33, 1,251.84 and 684.55 is: 1,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.33 : 1,251.84 = 684.55 : x
  2. Step 2: Convert to fraction form
    838.33/1,251.84 = 684.55/x
  3. Step 3: Cross multiply
    838.33x = 1,251.84 × 684.55
  4. Step 4: Simplify right side
    838.33x = 856,951.20
  5. Step 5: Solve for x
    x = 856,951.20/838.33
  6. Step 6: Final answer
    x = 1,022.22

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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.