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Finding the Fourth Proportional to 729.02, 1,093.17 and 382.34

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Solution

The fourth proportional to 729.02, 1,093.17 and 382.34 is: 573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.02 : 1,093.17 = 382.34 : x
  2. Step 2: Convert to fraction form
    729.02/1,093.17 = 382.34/x
  3. Step 3: Cross multiply
    729.02x = 1,093.17 × 382.34
  4. Step 4: Simplify right side
    729.02x = 417,962.62
  5. Step 5: Solve for x
    x = 417,962.62/729.02
  6. Step 6: Final answer
    x = 573.32

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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.