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Finding the Fourth Proportional to 680.90, 1,021.37 and 194.00

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Solution

The fourth proportional to 680.90, 1,021.37 and 194.00 is: 291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.90 : 1,021.37 = 194.00 : x
  2. Step 2: Convert to fraction form
    680.90/1,021.37 = 194.00/x
  3. Step 3: Cross multiply
    680.90x = 1,021.37 × 194.00
  4. Step 4: Simplify right side
    680.90x = 198,139.70
  5. Step 5: Solve for x
    x = 198,139.70/680.90
  6. Step 6: Final answer
    x = 291.00

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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.