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Finding the Fourth Proportional to 826.97, 1,237.04 and 679.06

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Solution

The fourth proportional to 826.97, 1,237.04 and 679.06 is: 1,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.97 : 1,237.04 = 679.06 : x
  2. Step 2: Convert to fraction form
    826.97/1,237.04 = 679.06/x
  3. Step 3: Cross multiply
    826.97x = 1,237.04 × 679.06
  4. Step 4: Simplify right side
    826.97x = 840,014.80
  5. Step 5: Solve for x
    x = 840,014.80/826.97
  6. Step 6: Final answer
    x = 1,015.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.