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Finding the Fourth Proportional to 729.23, 1,093.48 and 266.99

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Solution

The fourth proportional to 729.23, 1,093.48 and 266.99 is: 400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.23 : 1,093.48 = 266.99 : x
  2. Step 2: Convert to fraction form
    729.23/1,093.48 = 266.99/x
  3. Step 3: Cross multiply
    729.23x = 1,093.48 × 266.99
  4. Step 4: Simplify right side
    729.23x = 291,942.09
  5. Step 5: Solve for x
    x = 291,942.09/729.23
  6. Step 6: Final answer
    x = 400.35

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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.