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Finding the Fourth Proportional to 755.45, 1,133.24 and 207.63

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Solution

The fourth proportional to 755.45, 1,133.24 and 207.63 is: 311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.45 : 1,133.24 = 207.63 : x
  2. Step 2: Convert to fraction form
    755.45/1,133.24 = 207.63/x
  3. Step 3: Cross multiply
    755.45x = 1,133.24 × 207.63
  4. Step 4: Simplify right side
    755.45x = 235,294.62
  5. Step 5: Solve for x
    x = 235,294.62/755.45
  6. Step 6: Final answer
    x = 311.46

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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.