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Finding the Fourth Proportional to 755.61, 1,133.49 and 207.84

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Solution

The fourth proportional to 755.61, 1,133.49 and 207.84 is: 311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.61 : 1,133.49 = 207.84 : x
  2. Step 2: Convert to fraction form
    755.61/1,133.49 = 207.84/x
  3. Step 3: Cross multiply
    755.61x = 1,133.49 × 207.84
  4. Step 4: Simplify right side
    755.61x = 235,584.56
  5. Step 5: Solve for x
    x = 235,584.56/755.61
  6. Step 6: Final answer
    x = 311.78

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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.