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Finding the Fourth Proportional to 680.19, 1,020.29 and 193.23

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Solution

The fourth proportional to 680.19, 1,020.29 and 193.23 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.19 : 1,020.29 = 193.23 : x
  2. Step 2: Convert to fraction form
    680.19/1,020.29 = 193.23/x
  3. Step 3: Cross multiply
    680.19x = 1,020.29 × 193.23
  4. Step 4: Simplify right side
    680.19x = 197,150.64
  5. Step 5: Solve for x
    x = 197,150.64/680.19
  6. Step 6: Final answer
    x = 289.85

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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.