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Finding the Fourth Proportional to 680.66, 1,020.83 and 193.60

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Solution

The fourth proportional to 680.66, 1,020.83 and 193.60 is: 290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.66 : 1,020.83 = 193.60 : x
  2. Step 2: Convert to fraction form
    680.66/1,020.83 = 193.60/x
  3. Step 3: Cross multiply
    680.66x = 1,020.83 × 193.60
  4. Step 4: Simplify right side
    680.66x = 197,632.69
  5. Step 5: Solve for x
    x = 197,632.69/680.66
  6. Step 6: Final answer
    x = 290.35

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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.