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Finding the Fourth Proportional to 1,280.08, 1,917.87 and 912.97

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Solution

The fourth proportional to 1,280.08, 1,917.87 and 912.97 is: 1,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.08 : 1,917.87 = 912.97 : x
  2. Step 2: Convert to fraction form
    1,280.08/1,917.87 = 912.97/x
  3. Step 3: Cross multiply
    1,280.08x = 1,917.87 × 912.97
  4. Step 4: Simplify right side
    1,280.08x = 1,750,957.77
  5. Step 5: Solve for x
    x = 1,750,957.77/1,280.08
  6. Step 6: Final answer
    x = 1,367.85

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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.