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Finding the Fourth Proportional to 826.04, 1,238.15 and 728.64

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Solution

The fourth proportional to 826.04, 1,238.15 and 728.64 is: 1,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.04 : 1,238.15 = 728.64 : x
  2. Step 2: Convert to fraction form
    826.04/1,238.15 = 728.64/x
  3. Step 3: Cross multiply
    826.04x = 1,238.15 × 728.64
  4. Step 4: Simplify right side
    826.04x = 902,167.44
  5. Step 5: Solve for x
    x = 902,167.44/826.04
  6. Step 6: Final answer
    x = 1,092.16

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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.