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Finding the Fourth Proportional to 826.96, 1,139.75 and 577.73

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Solution

The fourth proportional to 826.96, 1,139.75 and 577.73 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.96 : 1,139.75 = 577.73 : x
  2. Step 2: Convert to fraction form
    826.96/1,139.75 = 577.73/x
  3. Step 3: Cross multiply
    826.96x = 1,139.75 × 577.73
  4. Step 4: Simplify right side
    826.96x = 658,468.27
  5. Step 5: Solve for x
    x = 658,468.27/826.96
  6. Step 6: Final answer
    x = 796.25

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Why These Related Problems?

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