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Finding the Fourth Proportional to 951.82, 1,428.34 and 850.34

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Solution

The fourth proportional to 951.82, 1,428.34 and 850.34 is: 1,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.82 : 1,428.34 = 850.34 : x
  2. Step 2: Convert to fraction form
    951.82/1,428.34 = 850.34/x
  3. Step 3: Cross multiply
    951.82x = 1,428.34 × 850.34
  4. Step 4: Simplify right side
    951.82x = 1,214,574.64
  5. Step 5: Solve for x
    x = 1,214,574.64/951.82
  6. Step 6: Final answer
    x = 1,276.05

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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.