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Finding the Fourth Proportional to 1,280.72, 1,919.50 and 664.07

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Solution

The fourth proportional to 1,280.72, 1,919.50 and 664.07 is: 995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.72 : 1,919.50 = 664.07 : x
  2. Step 2: Convert to fraction form
    1,280.72/1,919.50 = 664.07/x
  3. Step 3: Cross multiply
    1,280.72x = 1,919.50 × 664.07
  4. Step 4: Simplify right side
    1,280.72x = 1,274,682.37
  5. Step 5: Solve for x
    x = 1,274,682.37/1,280.72
  6. Step 6: Final answer
    x = 995.29

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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.