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Finding the Fourth Proportional to 960.09, 1,439.46 and 472.83

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Solution

The fourth proportional to 960.09, 1,439.46 and 472.83 is: 708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.09 : 1,439.46 = 472.83 : x
  2. Step 2: Convert to fraction form
    960.09/1,439.46 = 472.83/x
  3. Step 3: Cross multiply
    960.09x = 1,439.46 × 472.83
  4. Step 4: Simplify right side
    960.09x = 680,619.87
  5. Step 5: Solve for x
    x = 680,619.87/960.09
  6. Step 6: Final answer
    x = 708.91

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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.