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Finding the Fourth Proportional to 960.53, 1,440.80 and 412.37

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Solution

The fourth proportional to 960.53, 1,440.80 and 412.37 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.53 : 1,440.80 = 412.37 : x
  2. Step 2: Convert to fraction form
    960.53/1,440.80 = 412.37/x
  3. Step 3: Cross multiply
    960.53x = 1,440.80 × 412.37
  4. Step 4: Simplify right side
    960.53x = 594,142.70
  5. Step 5: Solve for x
    x = 594,142.70/960.53
  6. Step 6: Final answer
    x = 618.56

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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.