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Finding the Fourth Proportional to 729.37, 1,094.52 and 404.97

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Solution

The fourth proportional to 729.37, 1,094.52 and 404.97 is: 607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.37 : 1,094.52 = 404.97 : x
  2. Step 2: Convert to fraction form
    729.37/1,094.52 = 404.97/x
  3. Step 3: Cross multiply
    729.37x = 1,094.52 × 404.97
  4. Step 4: Simplify right side
    729.37x = 443,247.76
  5. Step 5: Solve for x
    x = 443,247.76/729.37
  6. Step 6: Final answer
    x = 607.71

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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.