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Finding the Fourth Proportional to 826.12, 1,238.04 and 479.23

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Solution

The fourth proportional to 826.12, 1,238.04 and 479.23 is: 718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.12 : 1,238.04 = 479.23 : x
  2. Step 2: Convert to fraction form
    826.12/1,238.04 = 479.23/x
  3. Step 3: Cross multiply
    826.12x = 1,238.04 × 479.23
  4. Step 4: Simplify right side
    826.12x = 593,305.91
  5. Step 5: Solve for x
    x = 593,305.91/826.12
  6. Step 6: Final answer
    x = 718.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.