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Finding the Fourth Proportional to 654.86, 982.04 and 192.52

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Solution

The fourth proportional to 654.86, 982.04 and 192.52 is: 288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 982.04 = 192.52 : x
  2. Step 2: Convert to fraction form
    654.86/982.04 = 192.52/x
  3. Step 3: Cross multiply
    654.86x = 982.04 × 192.52
  4. Step 4: Simplify right side
    654.86x = 189,062.34
  5. Step 5: Solve for x
    x = 189,062.34/654.86
  6. Step 6: Final answer
    x = 288.71

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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.