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Finding the Fourth Proportional to 754.64, 1,131.92 and 206.87

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Solution

The fourth proportional to 754.64, 1,131.92 and 206.87 is: 310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.64 : 1,131.92 = 206.87 : x
  2. Step 2: Convert to fraction form
    754.64/1,131.92 = 206.87/x
  3. Step 3: Cross multiply
    754.64x = 1,131.92 × 206.87
  4. Step 4: Simplify right side
    754.64x = 234,160.29
  5. Step 5: Solve for x
    x = 234,160.29/754.64
  6. Step 6: Final answer
    x = 310.30

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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.