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Finding the Fourth Proportional to 826.37, 1,239.62 and 415.29

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Solution

The fourth proportional to 826.37, 1,239.62 and 415.29 is: 622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.37 : 1,239.62 = 415.29 : x
  2. Step 2: Convert to fraction form
    826.37/1,239.62 = 415.29/x
  3. Step 3: Cross multiply
    826.37x = 1,239.62 × 415.29
  4. Step 4: Simplify right side
    826.37x = 514,799.71
  5. Step 5: Solve for x
    x = 514,799.71/826.37
  6. Step 6: Final answer
    x = 622.97

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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.