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Finding the Fourth Proportional to 728.98, 1,092.92 and 266.67

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Solution

The fourth proportional to 728.98, 1,092.92 and 266.67 is: 399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.98 : 1,092.92 = 266.67 : x
  2. Step 2: Convert to fraction form
    728.98/1,092.92 = 266.67/x
  3. Step 3: Cross multiply
    728.98x = 1,092.92 × 266.67
  4. Step 4: Simplify right side
    728.98x = 291,447.64
  5. Step 5: Solve for x
    x = 291,447.64/728.98
  6. Step 6: Final answer
    x = 399.80

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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.