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Finding the Fourth Proportional to 654.87, 982.01 and 381.04

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Solution

The fourth proportional to 654.87, 982.01 and 381.04 is: 571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.87 : 982.01 = 381.04 : x
  2. Step 2: Convert to fraction form
    654.87/982.01 = 381.04/x
  3. Step 3: Cross multiply
    654.87x = 982.01 × 381.04
  4. Step 4: Simplify right side
    654.87x = 374,186.97
  5. Step 5: Solve for x
    x = 374,186.97/654.87
  6. Step 6: Final answer
    x = 571.39

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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.