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Finding the Fourth Proportional to 755.73, 1,133.46 and 446.58

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Solution

The fourth proportional to 755.73, 1,133.46 and 446.58 is: 669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.73 : 1,133.46 = 446.58 : x
  2. Step 2: Convert to fraction form
    755.73/1,133.46 = 446.58/x
  3. Step 3: Cross multiply
    755.73x = 1,133.46 × 446.58
  4. Step 4: Simplify right side
    755.73x = 506,180.57
  5. Step 5: Solve for x
    x = 506,180.57/755.73
  6. Step 6: Final answer
    x = 669.79

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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.