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Finding the Fourth Proportional to 826.56, 1,140.12 and 605.52

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Solution

The fourth proportional to 826.56, 1,140.12 and 605.52 is: 835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.56 : 1,140.12 = 605.52 : x
  2. Step 2: Convert to fraction form
    826.56/1,140.12 = 605.52/x
  3. Step 3: Cross multiply
    826.56x = 1,140.12 × 605.52
  4. Step 4: Simplify right side
    826.56x = 690,365.46
  5. Step 5: Solve for x
    x = 690,365.46/826.56
  6. Step 6: Final answer
    x = 835.23

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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.