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Finding the Fourth Proportional to 960.40, 1,439.96 and 412.44

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Solution

The fourth proportional to 960.40, 1,439.96 and 412.44 is: 618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.40 : 1,439.96 = 412.44 : x
  2. Step 2: Convert to fraction form
    960.40/1,439.96 = 412.44/x
  3. Step 3: Cross multiply
    960.40x = 1,439.96 × 412.44
  4. Step 4: Simplify right side
    960.40x = 593,897.10
  5. Step 5: Solve for x
    x = 593,897.10/960.40
  6. Step 6: Final answer
    x = 618.39

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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.