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Finding the Fourth Proportional to 826.11, 1,139.87 and 531.34

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Solution

The fourth proportional to 826.11, 1,139.87 and 531.34 is: 733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.11 : 1,139.87 = 531.34 : x
  2. Step 2: Convert to fraction form
    826.11/1,139.87 = 531.34/x
  3. Step 3: Cross multiply
    826.11x = 1,139.87 × 531.34
  4. Step 4: Simplify right side
    826.11x = 605,657.00
  5. Step 5: Solve for x
    x = 605,657.00/826.11
  6. Step 6: Final answer
    x = 733.14

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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.