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Finding the Fourth Proportional to 826.36, 1,238.62 and 392.92

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Solution

The fourth proportional to 826.36, 1,238.62 and 392.92 is: 588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.36 : 1,238.62 = 392.92 : x
  2. Step 2: Convert to fraction form
    826.36/1,238.62 = 392.92/x
  3. Step 3: Cross multiply
    826.36x = 1,238.62 × 392.92
  4. Step 4: Simplify right side
    826.36x = 486,678.57
  5. Step 5: Solve for x
    x = 486,678.57/826.36
  6. Step 6: Final answer
    x = 588.94

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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.