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Finding the Fourth Proportional to 1,433.28, 2,149.28 and 664

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Solution

The fourth proportional to 1,433.28, 2,149.28 and 664 is: 995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.28 : 2,149.28 = 664 : x
  2. Step 2: Convert to fraction form
    1,433.28/2,149.28 = 664/x
  3. Step 3: Cross multiply
    1,433.28x = 2,149.28 × 664
  4. Step 4: Simplify right side
    1,433.28x = 1,427,121.92
  5. Step 5: Solve for x
    x = 1,427,121.92/1,433.28
  6. Step 6: Final answer
    x = 995.70

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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.