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Finding the Fourth Proportional to 547.22, 821.23 and 539.12

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Solution

The fourth proportional to 547.22, 821.23 and 539.12 is: 809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.22 : 821.23 = 539.12 : x
  2. Step 2: Convert to fraction form
    547.22/821.23 = 539.12/x
  3. Step 3: Cross multiply
    547.22x = 821.23 × 539.12
  4. Step 4: Simplify right side
    547.22x = 442,742.22
  5. Step 5: Solve for x
    x = 442,742.22/547.22
  6. Step 6: Final answer
    x = 809.07

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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.