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Finding the Fourth Proportional to 680.86, 1,021.29 and 270.06

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Solution

The fourth proportional to 680.86, 1,021.29 and 270.06 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.86 : 1,021.29 = 270.06 : x
  2. Step 2: Convert to fraction form
    680.86/1,021.29 = 270.06/x
  3. Step 3: Cross multiply
    680.86x = 1,021.29 × 270.06
  4. Step 4: Simplify right side
    680.86x = 275,809.58
  5. Step 5: Solve for x
    x = 275,809.58/680.86
  6. Step 6: Final answer
    x = 405.09

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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.