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Finding the Fourth Proportional to 850.74, 1,276.11 and 274.02

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Solution

The fourth proportional to 850.74, 1,276.11 and 274.02 is: 411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.74 : 1,276.11 = 274.02 : x
  2. Step 2: Convert to fraction form
    850.74/1,276.11 = 274.02/x
  3. Step 3: Cross multiply
    850.74x = 1,276.11 × 274.02
  4. Step 4: Simplify right side
    850.74x = 349,679.66
  5. Step 5: Solve for x
    x = 349,679.66/850.74
  6. Step 6: Final answer
    x = 411.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.