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Finding the Fourth Proportional to 826.07, 1,238.52 and 414.91

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Solution

The fourth proportional to 826.07, 1,238.52 and 414.91 is: 622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.07 : 1,238.52 = 414.91 : x
  2. Step 2: Convert to fraction form
    826.07/1,238.52 = 414.91/x
  3. Step 3: Cross multiply
    826.07x = 1,238.52 × 414.91
  4. Step 4: Simplify right side
    826.07x = 513,874.33
  5. Step 5: Solve for x
    x = 513,874.33/826.07
  6. Step 6: Final answer
    x = 622.07

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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.