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Finding the Fourth Proportional to 961.97, 1,441.11 and 473.54

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Solution

The fourth proportional to 961.97, 1,441.11 and 473.54 is: 709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.97 : 1,441.11 = 473.54 : x
  2. Step 2: Convert to fraction form
    961.97/1,441.11 = 473.54/x
  3. Step 3: Cross multiply
    961.97x = 1,441.11 × 473.54
  4. Step 4: Simplify right side
    961.97x = 682,416.02
  5. Step 5: Solve for x
    x = 682,416.02/961.97
  6. Step 6: Final answer
    x = 709.40

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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.