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Finding the Fourth Proportional to 826.47, 1,238.76 and 461.43

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Solution

The fourth proportional to 826.47, 1,238.76 and 461.43 is: 691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.47 : 1,238.76 = 461.43 : x
  2. Step 2: Convert to fraction form
    826.47/1,238.76 = 461.43/x
  3. Step 3: Cross multiply
    826.47x = 1,238.76 × 461.43
  4. Step 4: Simplify right side
    826.47x = 571,601.03
  5. Step 5: Solve for x
    x = 571,601.03/826.47
  6. Step 6: Final answer
    x = 691.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.