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Finding the Fourth Proportional to 1,280.02, 1,919.67 and 664.42

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Solution

The fourth proportional to 1,280.02, 1,919.67 and 664.42 is: 996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.02 : 1,919.67 = 664.42 : x
  2. Step 2: Convert to fraction form
    1,280.02/1,919.67 = 664.42/x
  3. Step 3: Cross multiply
    1,280.02x = 1,919.67 × 664.42
  4. Step 4: Simplify right side
    1,280.02x = 1,275,467.14
  5. Step 5: Solve for x
    x = 1,275,467.14/1,280.02
  6. Step 6: Final answer
    x = 996.44

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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.