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Finding the Fourth Proportional to 826.29, 1,238.06 and 582.30

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Solution

The fourth proportional to 826.29, 1,238.06 and 582.30 is: 872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.29 : 1,238.06 = 582.30 : x
  2. Step 2: Convert to fraction form
    826.29/1,238.06 = 582.30/x
  3. Step 3: Cross multiply
    826.29x = 1,238.06 × 582.30
  4. Step 4: Simplify right side
    826.29x = 720,919.43
  5. Step 5: Solve for x
    x = 720,919.43/826.29
  6. Step 6: Final answer
    x = 872.48

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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.