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Finding the Fourth Proportional to 680.53, 1,020.33 and 247.63

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Solution

The fourth proportional to 680.53, 1,020.33 and 247.63 is: 371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.53 : 1,020.33 = 247.63 : x
  2. Step 2: Convert to fraction form
    680.53/1,020.33 = 247.63/x
  3. Step 3: Cross multiply
    680.53x = 1,020.33 × 247.63
  4. Step 4: Simplify right side
    680.53x = 252,664.32
  5. Step 5: Solve for x
    x = 252,664.32/680.53
  6. Step 6: Final answer
    x = 371.28

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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.