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Finding the Fourth Proportional to 654.46, 982.06 and 539.92

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Solution

The fourth proportional to 654.46, 982.06 and 539.92 is: 810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.46 : 982.06 = 539.92 : x
  2. Step 2: Convert to fraction form
    654.46/982.06 = 539.92/x
  3. Step 3: Cross multiply
    654.46x = 982.06 × 539.92
  4. Step 4: Simplify right side
    654.46x = 530,233.84
  5. Step 5: Solve for x
    x = 530,233.84/654.46
  6. Step 6: Final answer
    x = 810.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.