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Finding the Fourth Proportional to 961.38, 1,441.08 and 475.02

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Solution

The fourth proportional to 961.38, 1,441.08 and 475.02 is: 712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.38 : 1,441.08 = 475.02 : x
  2. Step 2: Convert to fraction form
    961.38/1,441.08 = 475.02/x
  3. Step 3: Cross multiply
    961.38x = 1,441.08 × 475.02
  4. Step 4: Simplify right side
    961.38x = 684,541.82
  5. Step 5: Solve for x
    x = 684,541.82/961.38
  6. Step 6: Final answer
    x = 712.04

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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.