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Finding the Fourth Proportional to 754.52, 1,133.92 and 446.43

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Solution

The fourth proportional to 754.52, 1,133.92 and 446.43 is: 670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.52 : 1,133.92 = 446.43 : x
  2. Step 2: Convert to fraction form
    754.52/1,133.92 = 446.43/x
  3. Step 3: Cross multiply
    754.52x = 1,133.92 × 446.43
  4. Step 4: Simplify right side
    754.52x = 506,215.91
  5. Step 5: Solve for x
    x = 506,215.91/754.52
  6. Step 6: Final answer
    x = 670.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.