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Finding the Fourth Proportional to 960.41, 1,440.70 and 412.46

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Solution

The fourth proportional to 960.41, 1,440.70 and 412.46 is: 618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.41 : 1,440.70 = 412.46 : x
  2. Step 2: Convert to fraction form
    960.41/1,440.70 = 412.46/x
  3. Step 3: Cross multiply
    960.41x = 1,440.70 × 412.46
  4. Step 4: Simplify right side
    960.41x = 594,231.12
  5. Step 5: Solve for x
    x = 594,231.12/960.41
  6. Step 6: Final answer
    x = 618.73

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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.