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Finding the Fourth Proportional to 680.59, 1,020.78 and 193.54

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Solution

The fourth proportional to 680.59, 1,020.78 and 193.54 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.59 : 1,020.78 = 193.54 : x
  2. Step 2: Convert to fraction form
    680.59/1,020.78 = 193.54/x
  3. Step 3: Cross multiply
    680.59x = 1,020.78 × 193.54
  4. Step 4: Simplify right side
    680.59x = 197,561.76
  5. Step 5: Solve for x
    x = 197,561.76/680.59
  6. Step 6: Final answer
    x = 290.28

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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.