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Finding the Fourth Proportional to 752.01, 1,128.06 and 204.18

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Solution

The fourth proportional to 752.01, 1,128.06 and 204.18 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.01 : 1,128.06 = 204.18 : x
  2. Step 2: Convert to fraction form
    752.01/1,128.06 = 204.18/x
  3. Step 3: Cross multiply
    752.01x = 1,128.06 × 204.18
  4. Step 4: Simplify right side
    752.01x = 230,327.29
  5. Step 5: Solve for x
    x = 230,327.29/752.01
  6. Step 6: Final answer
    x = 306.28

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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.