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Finding the Fourth Proportional to 826.07, 1,138.98 and 713.83

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Solution

The fourth proportional to 826.07, 1,138.98 and 713.83 is: 984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.07 : 1,138.98 = 713.83 : x
  2. Step 2: Convert to fraction form
    826.07/1,138.98 = 713.83/x
  3. Step 3: Cross multiply
    826.07x = 1,138.98 × 713.83
  4. Step 4: Simplify right side
    826.07x = 813,037.37
  5. Step 5: Solve for x
    x = 813,037.37/826.07
  6. Step 6: Final answer
    x = 984.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.