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Finding the Fourth Proportional to 1,288.94, 1,929.27 and 850.55

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Solution

The fourth proportional to 1,288.94, 1,929.27 and 850.55 is: 1,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.94 : 1,929.27 = 850.55 : x
  2. Step 2: Convert to fraction form
    1,288.94/1,929.27 = 850.55/x
  3. Step 3: Cross multiply
    1,288.94x = 1,929.27 × 850.55
  4. Step 4: Simplify right side
    1,288.94x = 1,640,940.60
  5. Step 5: Solve for x
    x = 1,640,940.60/1,288.94
  6. Step 6: Final answer
    x = 1,273.09

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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.