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Finding the Fourth Proportional to 826.58, 1,239.26 and 415.42

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Solution

The fourth proportional to 826.58, 1,239.26 and 415.42 is: 622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.58 : 1,239.26 = 415.42 : x
  2. Step 2: Convert to fraction form
    826.58/1,239.26 = 415.42/x
  3. Step 3: Cross multiply
    826.58x = 1,239.26 × 415.42
  4. Step 4: Simplify right side
    826.58x = 514,813.39
  5. Step 5: Solve for x
    x = 514,813.39/826.58
  6. Step 6: Final answer
    x = 622.82

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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.