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Finding the Fourth Proportional to 960.30, 1,439.24 and 472.95

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Solution

The fourth proportional to 960.30, 1,439.24 and 472.95 is: 708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.30 : 1,439.24 = 472.95 : x
  2. Step 2: Convert to fraction form
    960.30/1,439.24 = 472.95/x
  3. Step 3: Cross multiply
    960.30x = 1,439.24 × 472.95
  4. Step 4: Simplify right side
    960.30x = 680,686.19
  5. Step 5: Solve for x
    x = 680,686.19/960.30
  6. Step 6: Final answer
    x = 708.83

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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.