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Finding the Fourth Proportional to 961.71, 1,441.87 and 474.64

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Solution

The fourth proportional to 961.71, 1,441.87 and 474.64 is: 711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.71 : 1,441.87 = 474.64 : x
  2. Step 2: Convert to fraction form
    961.71/1,441.87 = 474.64/x
  3. Step 3: Cross multiply
    961.71x = 1,441.87 × 474.64
  4. Step 4: Simplify right side
    961.71x = 684,369.18
  5. Step 5: Solve for x
    x = 684,369.18/961.71
  6. Step 6: Final answer
    x = 711.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.