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Finding the Fourth Proportional to 960.66, 1,439.57 and 472.64

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Solution

The fourth proportional to 960.66, 1,439.57 and 472.64 is: 708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.66 : 1,439.57 = 472.64 : x
  2. Step 2: Convert to fraction form
    960.66/1,439.57 = 472.64/x
  3. Step 3: Cross multiply
    960.66x = 1,439.57 × 472.64
  4. Step 4: Simplify right side
    960.66x = 680,392.35
  5. Step 5: Solve for x
    x = 680,392.35/960.66
  6. Step 6: Final answer
    x = 708.26

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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.