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Finding the Fourth Proportional to 1,280.40, 1,921.20 and 664.80

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Solution

The fourth proportional to 1,280.40, 1,921.20 and 664.80 is: 997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.40 : 1,921.20 = 664.80 : x
  2. Step 2: Convert to fraction form
    1,280.40/1,921.20 = 664.80/x
  3. Step 3: Cross multiply
    1,280.40x = 1,921.20 × 664.80
  4. Step 4: Simplify right side
    1,280.40x = 1,277,213.76
  5. Step 5: Solve for x
    x = 1,277,213.76/1,280.40
  6. Step 6: Final answer
    x = 997.51

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1.5x scale

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.