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Finding the Fourth Proportional to 547.20, 814.97 and 523.51

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Solution

The fourth proportional to 547.20, 814.97 and 523.51 is: 779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.20 : 814.97 = 523.51 : x
  2. Step 2: Convert to fraction form
    547.20/814.97 = 523.51/x
  3. Step 3: Cross multiply
    547.20x = 814.97 × 523.51
  4. Step 4: Simplify right side
    547.20x = 426,644.22
  5. Step 5: Solve for x
    x = 426,644.22/547.20
  6. Step 6: Final answer
    x = 779.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.