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Finding the Fourth Proportional to 729.29, 1,093.59 and 266.74

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Solution

The fourth proportional to 729.29, 1,093.59 and 266.74 is: 399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.29 : 1,093.59 = 266.74 : x
  2. Step 2: Convert to fraction form
    729.29/1,093.59 = 266.74/x
  3. Step 3: Cross multiply
    729.29x = 1,093.59 × 266.74
  4. Step 4: Simplify right side
    729.29x = 291,704.20
  5. Step 5: Solve for x
    x = 291,704.20/729.29
  6. Step 6: Final answer
    x = 399.98

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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.