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Finding the Fourth Proportional to 826.82, 1,140.09 and 531.68

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Solution

The fourth proportional to 826.82, 1,140.09 and 531.68 is: 733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.82 : 1,140.09 = 531.68 : x
  2. Step 2: Convert to fraction form
    826.82/1,140.09 = 531.68/x
  3. Step 3: Cross multiply
    826.82x = 1,140.09 × 531.68
  4. Step 4: Simplify right side
    826.82x = 606,163.05
  5. Step 5: Solve for x
    x = 606,163.05/826.82
  6. Step 6: Final answer
    x = 733.13

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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.