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Finding the Fourth Proportional to 756.82, 1,133.97 and 496.47

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Solution

The fourth proportional to 756.82, 1,133.97 and 496.47 is: 743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.82 : 1,133.97 = 496.47 : x
  2. Step 2: Convert to fraction form
    756.82/1,133.97 = 496.47/x
  3. Step 3: Cross multiply
    756.82x = 1,133.97 × 496.47
  4. Step 4: Simplify right side
    756.82x = 562,982.09
  5. Step 5: Solve for x
    x = 562,982.09/756.82
  6. Step 6: Final answer
    x = 743.88

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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.