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Finding the Fourth Proportional to 752.52, 1,127.37 and 443.45

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Solution

The fourth proportional to 752.52, 1,127.37 and 443.45 is: 664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.52 : 1,127.37 = 443.45 : x
  2. Step 2: Convert to fraction form
    752.52/1,127.37 = 443.45/x
  3. Step 3: Cross multiply
    752.52x = 1,127.37 × 443.45
  4. Step 4: Simplify right side
    752.52x = 499,932.23
  5. Step 5: Solve for x
    x = 499,932.23/752.52
  6. Step 6: Final answer
    x = 664.34

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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.