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Finding the Fourth Proportional to 755.80, 1,133.17 and 293.54

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Solution

The fourth proportional to 755.80, 1,133.17 and 293.54 is: 440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.80 : 1,133.17 = 293.54 : x
  2. Step 2: Convert to fraction form
    755.80/1,133.17 = 293.54/x
  3. Step 3: Cross multiply
    755.80x = 1,133.17 × 293.54
  4. Step 4: Simplify right side
    755.80x = 332,629.25
  5. Step 5: Solve for x
    x = 332,629.25/755.80
  6. Step 6: Final answer
    x = 440.11

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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.