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Finding the Fourth Proportional to 654.12, 980.92 and 191.77

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Solution

The fourth proportional to 654.12, 980.92 and 191.77 is: 287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 980.92 = 191.77 : x
  2. Step 2: Convert to fraction form
    654.12/980.92 = 191.77/x
  3. Step 3: Cross multiply
    654.12x = 980.92 × 191.77
  4. Step 4: Simplify right side
    654.12x = 188,111.03
  5. Step 5: Solve for x
    x = 188,111.03/654.12
  6. Step 6: Final answer
    x = 287.58

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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.