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Finding the Fourth Proportional to 680.22, 1,020.07 and 371.64

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Solution

The fourth proportional to 680.22, 1,020.07 and 371.64 is: 557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.22 : 1,020.07 = 371.64 : x
  2. Step 2: Convert to fraction form
    680.22/1,020.07 = 371.64/x
  3. Step 3: Cross multiply
    680.22x = 1,020.07 × 371.64
  4. Step 4: Simplify right side
    680.22x = 379,097.89
  5. Step 5: Solve for x
    x = 379,097.89/680.22
  6. Step 6: Final answer
    x = 557.32

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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.