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Finding the Fourth Proportional to 826.37, 1,139.45 and 527.21

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Solution

The fourth proportional to 826.37, 1,139.45 and 527.21 is: 726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.37 : 1,139.45 = 527.21 : x
  2. Step 2: Convert to fraction form
    826.37/1,139.45 = 527.21/x
  3. Step 3: Cross multiply
    826.37x = 1,139.45 × 527.21
  4. Step 4: Simplify right side
    826.37x = 600,735.49
  5. Step 5: Solve for x
    x = 600,735.49/826.37
  6. Step 6: Final answer
    x = 726.96

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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.