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Finding the Fourth Proportional to 729.56, 1,094.33 and 181.76

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Solution

The fourth proportional to 729.56, 1,094.33 and 181.76 is: 272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.56 : 1,094.33 = 181.76 : x
  2. Step 2: Convert to fraction form
    729.56/1,094.33 = 181.76/x
  3. Step 3: Cross multiply
    729.56x = 1,094.33 × 181.76
  4. Step 4: Simplify right side
    729.56x = 198,900.40
  5. Step 5: Solve for x
    x = 198,900.40/729.56
  6. Step 6: Final answer
    x = 272.63

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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.