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Finding the Fourth Proportional to 654, 980.93 and 191.78

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Solution

The fourth proportional to 654, 980.93 and 191.78 is: 287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 980.93 = 191.78 : x
  2. Step 2: Convert to fraction form
    654/980.93 = 191.78/x
  3. Step 3: Cross multiply
    654x = 980.93 × 191.78
  4. Step 4: Simplify right side
    654x = 188,124.73
  5. Step 5: Solve for x
    x = 188,124.73/654
  6. Step 6: Final answer
    x = 287.65

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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.