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Finding the Fourth Proportional to 752.04, 1,128.12 and 204.22

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Solution

The fourth proportional to 752.04, 1,128.12 and 204.22 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.04 : 1,128.12 = 204.22 : x
  2. Step 2: Convert to fraction form
    752.04/1,128.12 = 204.22/x
  3. Step 3: Cross multiply
    752.04x = 1,128.12 × 204.22
  4. Step 4: Simplify right side
    752.04x = 230,384.67
  5. Step 5: Solve for x
    x = 230,384.67/752.04
  6. Step 6: Final answer
    x = 306.35

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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.