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Finding the Fourth Proportional to 685.36, 1,026.27 and 622.92

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Solution

The fourth proportional to 685.36, 1,026.27 and 622.92 is: 932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.36 : 1,026.27 = 622.92 : x
  2. Step 2: Convert to fraction form
    685.36/1,026.27 = 622.92/x
  3. Step 3: Cross multiply
    685.36x = 1,026.27 × 622.92
  4. Step 4: Simplify right side
    685.36x = 639,287.96
  5. Step 5: Solve for x
    x = 639,287.96/685.36
  6. Step 6: Final answer
    x = 932.78

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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.