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Finding the Fourth Proportional to 752.72, 1,128.80 and 290.27

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Solution

The fourth proportional to 752.72, 1,128.80 and 290.27 is: 435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.72 : 1,128.80 = 290.27 : x
  2. Step 2: Convert to fraction form
    752.72/1,128.80 = 290.27/x
  3. Step 3: Cross multiply
    752.72x = 1,128.80 × 290.27
  4. Step 4: Simplify right side
    752.72x = 327,649.68
  5. Step 5: Solve for x
    x = 327,649.68/752.72
  6. Step 6: Final answer
    x = 435.29

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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.