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Finding the Fourth Proportional to 729.89, 1,093.06 and 482.94

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Solution

The fourth proportional to 729.89, 1,093.06 and 482.94 is: 723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.89 : 1,093.06 = 482.94 : x
  2. Step 2: Convert to fraction form
    729.89/1,093.06 = 482.94/x
  3. Step 3: Cross multiply
    729.89x = 1,093.06 × 482.94
  4. Step 4: Simplify right side
    729.89x = 527,882.40
  5. Step 5: Solve for x
    x = 527,882.40/729.89
  6. Step 6: Final answer
    x = 723.24

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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.