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Finding the Fourth Proportional to 826.61, 1,140.48 and 531.97

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Solution

The fourth proportional to 826.61, 1,140.48 and 531.97 is: 733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,140.48 = 531.97 : x
  2. Step 2: Convert to fraction form
    826.61/1,140.48 = 531.97/x
  3. Step 3: Cross multiply
    826.61x = 1,140.48 × 531.97
  4. Step 4: Simplify right side
    826.61x = 606,698.29
  5. Step 5: Solve for x
    x = 606,698.29/826.61
  6. Step 6: Final answer
    x = 733.96

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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.