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Finding the Fourth Proportional to 816.05, 1,223.04 and 445.61

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Solution

The fourth proportional to 816.05, 1,223.04 and 445.61 is: 667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.05 : 1,223.04 = 445.61 : x
  2. Step 2: Convert to fraction form
    816.05/1,223.04 = 445.61/x
  3. Step 3: Cross multiply
    816.05x = 1,223.04 × 445.61
  4. Step 4: Simplify right side
    816.05x = 544,998.85
  5. Step 5: Solve for x
    x = 544,998.85/816.05
  6. Step 6: Final answer
    x = 667.85

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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.