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Finding the Fourth Proportional to 872.37, 1,309.10 and 677.97

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Solution

The fourth proportional to 872.37, 1,309.10 and 677.97 is: 1,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.37 : 1,309.10 = 677.97 : x
  2. Step 2: Convert to fraction form
    872.37/1,309.10 = 677.97/x
  3. Step 3: Cross multiply
    872.37x = 1,309.10 × 677.97
  4. Step 4: Simplify right side
    872.37x = 887,527.14
  5. Step 5: Solve for x
    x = 887,527.14/872.37
  6. Step 6: Final answer
    x = 1,017.37

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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.