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Finding the Fourth Proportional to 961.44, 1,441.07 and 474.83

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Solution

The fourth proportional to 961.44, 1,441.07 and 474.83 is: 711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.44 : 1,441.07 = 474.83 : x
  2. Step 2: Convert to fraction form
    961.44/1,441.07 = 474.83/x
  3. Step 3: Cross multiply
    961.44x = 1,441.07 × 474.83
  4. Step 4: Simplify right side
    961.44x = 684,263.27
  5. Step 5: Solve for x
    x = 684,263.27/961.44
  6. Step 6: Final answer
    x = 711.71

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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.