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Finding the Fourth Proportional to 1,280.35, 1,922.28 and 664.48

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Solution

The fourth proportional to 1,280.35, 1,922.28 and 664.48 is: 997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.35 : 1,922.28 = 664.48 : x
  2. Step 2: Convert to fraction form
    1,280.35/1,922.28 = 664.48/x
  3. Step 3: Cross multiply
    1,280.35x = 1,922.28 × 664.48
  4. Step 4: Simplify right side
    1,280.35x = 1,277,316.61
  5. Step 5: Solve for x
    x = 1,277,316.61/1,280.35
  6. Step 6: Final answer
    x = 997.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.