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Finding the Fourth Proportional to 826.73, 1,140.64 and 512.22

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Solution

The fourth proportional to 826.73, 1,140.64 and 512.22 is: 706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.73 : 1,140.64 = 512.22 : x
  2. Step 2: Convert to fraction form
    826.73/1,140.64 = 512.22/x
  3. Step 3: Cross multiply
    826.73x = 1,140.64 × 512.22
  4. Step 4: Simplify right side
    826.73x = 584,257.34
  5. Step 5: Solve for x
    x = 584,257.34/826.73
  6. Step 6: Final answer
    x = 706.71

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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.