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Finding the Fourth Proportional to 680.72, 1,021.05 and 193.82

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Solution

The fourth proportional to 680.72, 1,021.05 and 193.82 is: 290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.72 : 1,021.05 = 193.82 : x
  2. Step 2: Convert to fraction form
    680.72/1,021.05 = 193.82/x
  3. Step 3: Cross multiply
    680.72x = 1,021.05 × 193.82
  4. Step 4: Simplify right side
    680.72x = 197,894.81
  5. Step 5: Solve for x
    x = 197,894.81/680.72
  6. Step 6: Final answer
    x = 290.72

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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.