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Finding the Fourth Proportional to 680.78, 1,021.36 and 242.05

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Solution

The fourth proportional to 680.78, 1,021.36 and 242.05 is: 363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.78 : 1,021.36 = 242.05 : x
  2. Step 2: Convert to fraction form
    680.78/1,021.36 = 242.05/x
  3. Step 3: Cross multiply
    680.78x = 1,021.36 × 242.05
  4. Step 4: Simplify right side
    680.78x = 247,220.83
  5. Step 5: Solve for x
    x = 247,220.83/680.78
  6. Step 6: Final answer
    x = 363.14

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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.