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Finding the Fourth Proportional to 547.92, 754.77 and 520.12

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Solution

The fourth proportional to 547.92, 754.77 and 520.12 is: 716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.92 : 754.77 = 520.12 : x
  2. Step 2: Convert to fraction form
    547.92/754.77 = 520.12/x
  3. Step 3: Cross multiply
    547.92x = 754.77 × 520.12
  4. Step 4: Simplify right side
    547.92x = 392,570.97
  5. Step 5: Solve for x
    x = 392,570.97/547.92
  6. Step 6: Final answer
    x = 716.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.