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Finding the Fourth Proportional to 755.89, 1,133.41 and 293.28

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Solution

The fourth proportional to 755.89, 1,133.41 and 293.28 is: 439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.89 : 1,133.41 = 293.28 : x
  2. Step 2: Convert to fraction form
    755.89/1,133.41 = 293.28/x
  3. Step 3: Cross multiply
    755.89x = 1,133.41 × 293.28
  4. Step 4: Simplify right side
    755.89x = 332,406.48
  5. Step 5: Solve for x
    x = 332,406.48/755.89
  6. Step 6: Final answer
    x = 439.76

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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.