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Finding the Fourth Proportional to 754.34, 1,131.84 and 446.79

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Solution

The fourth proportional to 754.34, 1,131.84 and 446.79 is: 670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.34 : 1,131.84 = 446.79 : x
  2. Step 2: Convert to fraction form
    754.34/1,131.84 = 446.79/x
  3. Step 3: Cross multiply
    754.34x = 1,131.84 × 446.79
  4. Step 4: Simplify right side
    754.34x = 505,694.79
  5. Step 5: Solve for x
    x = 505,694.79/754.34
  6. Step 6: Final answer
    x = 670.38

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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.