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Finding the Fourth Proportional to 872.87, 1,206.47 and 767.17

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Solution

The fourth proportional to 872.87, 1,206.47 and 767.17 is: 1,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.87 : 1,206.47 = 767.17 : x
  2. Step 2: Convert to fraction form
    872.87/1,206.47 = 767.17/x
  3. Step 3: Cross multiply
    872.87x = 1,206.47 × 767.17
  4. Step 4: Simplify right side
    872.87x = 925,566.49
  5. Step 5: Solve for x
    x = 925,566.49/872.87
  6. Step 6: Final answer
    x = 1,060.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.