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Finding the Fourth Proportional to 826.04, 1,238.04 and 392.24

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Solution

The fourth proportional to 826.04, 1,238.04 and 392.24 is: 587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.04 : 1,238.04 = 392.24 : x
  2. Step 2: Convert to fraction form
    826.04/1,238.04 = 392.24/x
  3. Step 3: Cross multiply
    826.04x = 1,238.04 × 392.24
  4. Step 4: Simplify right side
    826.04x = 485,608.81
  5. Step 5: Solve for x
    x = 485,608.81/826.04
  6. Step 6: Final answer
    x = 587.88

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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.