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Finding the Fourth Proportional to 752.61, 1,128.14 and 427.29

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Solution

The fourth proportional to 752.61, 1,128.14 and 427.29 is: 640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.61 : 1,128.14 = 427.29 : x
  2. Step 2: Convert to fraction form
    752.61/1,128.14 = 427.29/x
  3. Step 3: Cross multiply
    752.61x = 1,128.14 × 427.29
  4. Step 4: Simplify right side
    752.61x = 482,042.94
  5. Step 5: Solve for x
    x = 482,042.94/752.61
  6. Step 6: Final answer
    x = 640.49

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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.