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Finding the Fourth Proportional to 1,012.17, 1,516.61 and 850.17

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Solution

The fourth proportional to 1,012.17, 1,516.61 and 850.17 is: 1,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.17 : 1,516.61 = 850.17 : x
  2. Step 2: Convert to fraction form
    1,012.17/1,516.61 = 850.17/x
  3. Step 3: Cross multiply
    1,012.17x = 1,516.61 × 850.17
  4. Step 4: Simplify right side
    1,012.17x = 1,289,372.07
  5. Step 5: Solve for x
    x = 1,289,372.07/1,012.17
  6. Step 6: Final answer
    x = 1,273.87

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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.