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Finding the Fourth Proportional to 1,012.68, 1,516.86 and 850.68

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Solution

The fourth proportional to 1,012.68, 1,516.86 and 850.68 is: 1,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.68 : 1,516.86 = 850.68 : x
  2. Step 2: Convert to fraction form
    1,012.68/1,516.86 = 850.68/x
  3. Step 3: Cross multiply
    1,012.68x = 1,516.86 × 850.68
  4. Step 4: Simplify right side
    1,012.68x = 1,290,362.46
  5. Step 5: Solve for x
    x = 1,290,362.46/1,012.68
  6. Step 6: Final answer
    x = 1,274.21

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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.