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Finding the Fourth Proportional to 730.12, 1,093.88 and 382.94

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Solution

The fourth proportional to 730.12, 1,093.88 and 382.94 is: 573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.12 : 1,093.88 = 382.94 : x
  2. Step 2: Convert to fraction form
    730.12/1,093.88 = 382.94/x
  3. Step 3: Cross multiply
    730.12x = 1,093.88 × 382.94
  4. Step 4: Simplify right side
    730.12x = 418,890.41
  5. Step 5: Solve for x
    x = 418,890.41/730.12
  6. Step 6: Final answer
    x = 573.73

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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.