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Finding the Fourth Proportional to 721.85, 1,083.45 and 447.11

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Solution

The fourth proportional to 721.85, 1,083.45 and 447.11 is: 671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.85 : 1,083.45 = 447.11 : x
  2. Step 2: Convert to fraction form
    721.85/1,083.45 = 447.11/x
  3. Step 3: Cross multiply
    721.85x = 1,083.45 × 447.11
  4. Step 4: Simplify right side
    721.85x = 484,415.91
  5. Step 5: Solve for x
    x = 484,415.91/721.85
  6. Step 6: Final answer
    x = 671.08

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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.