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Finding the Fourth Proportional to 850.76, 1,274.46 and 797.48

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Solution

The fourth proportional to 850.76, 1,274.46 and 797.48 is: 1,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.76 : 1,274.46 = 797.48 : x
  2. Step 2: Convert to fraction form
    850.76/1,274.46 = 797.48/x
  3. Step 3: Cross multiply
    850.76x = 1,274.46 × 797.48
  4. Step 4: Simplify right side
    850.76x = 1,016,356.36
  5. Step 5: Solve for x
    x = 1,016,356.36/850.76
  6. Step 6: Final answer
    x = 1,194.65

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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.