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Finding the Fourth Proportional to 754.30, 1,131.46 and 206.53

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Solution

The fourth proportional to 754.30, 1,131.46 and 206.53 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.30 : 1,131.46 = 206.53 : x
  2. Step 2: Convert to fraction form
    754.30/1,131.46 = 206.53/x
  3. Step 3: Cross multiply
    754.30x = 1,131.46 × 206.53
  4. Step 4: Simplify right side
    754.30x = 233,680.43
  5. Step 5: Solve for x
    x = 233,680.43/754.30
  6. Step 6: Final answer
    x = 309.80

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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.