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Finding the Fourth Proportional to 850.68, 1,274.58 and 767.70

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Solution

The fourth proportional to 850.68, 1,274.58 and 767.70 is: 1,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.68 : 1,274.58 = 767.70 : x
  2. Step 2: Convert to fraction form
    850.68/1,274.58 = 767.70/x
  3. Step 3: Cross multiply
    850.68x = 1,274.58 × 767.70
  4. Step 4: Simplify right side
    850.68x = 978,495.07
  5. Step 5: Solve for x
    x = 978,495.07/850.68
  6. Step 6: Final answer
    x = 1,150.25

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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.