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Finding the Fourth Proportional to 850.14, 1,274.87 and 264.95

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Solution

The fourth proportional to 850.14, 1,274.87 and 264.95 is: 397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.14 : 1,274.87 = 264.95 : x
  2. Step 2: Convert to fraction form
    850.14/1,274.87 = 264.95/x
  3. Step 3: Cross multiply
    850.14x = 1,274.87 × 264.95
  4. Step 4: Simplify right side
    850.14x = 337,769.11
  5. Step 5: Solve for x
    x = 337,769.11/850.14
  6. Step 6: Final answer
    x = 397.31

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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.