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Finding the Fourth Proportional to 728.56, 1,092.85 and 266.68

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Solution

The fourth proportional to 728.56, 1,092.85 and 266.68 is: 400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.56 : 1,092.85 = 266.68 : x
  2. Step 2: Convert to fraction form
    728.56/1,092.85 = 266.68/x
  3. Step 3: Cross multiply
    728.56x = 1,092.85 × 266.68
  4. Step 4: Simplify right side
    728.56x = 291,441.39
  5. Step 5: Solve for x
    x = 291,441.39/728.56
  6. Step 6: Final answer
    x = 400.02

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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.