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Finding the Fourth Proportional to 826.73, 1,237.69 and 622.14

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Solution

The fourth proportional to 826.73, 1,237.69 and 622.14 is: 931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.73 : 1,237.69 = 622.14 : x
  2. Step 2: Convert to fraction form
    826.73/1,237.69 = 622.14/x
  3. Step 3: Cross multiply
    826.73x = 1,237.69 × 622.14
  4. Step 4: Simplify right side
    826.73x = 770,016.46
  5. Step 5: Solve for x
    x = 770,016.46/826.73
  6. Step 6: Final answer
    x = 931.40

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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.