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Finding the Fourth Proportional to 728.08, 1,092.12 and 265.89

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Solution

The fourth proportional to 728.08, 1,092.12 and 265.89 is: 398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.08 : 1,092.12 = 265.89 : x
  2. Step 2: Convert to fraction form
    728.08/1,092.12 = 265.89/x
  3. Step 3: Cross multiply
    728.08x = 1,092.12 × 265.89
  4. Step 4: Simplify right side
    728.08x = 290,383.79
  5. Step 5: Solve for x
    x = 290,383.79/728.08
  6. Step 6: Final answer
    x = 398.84

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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.