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Finding the Fourth Proportional to 547.18, 822.15 and 514.38

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Solution

The fourth proportional to 547.18, 822.15 and 514.38 is: 772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.18 : 822.15 = 514.38 : x
  2. Step 2: Convert to fraction form
    547.18/822.15 = 514.38/x
  3. Step 3: Cross multiply
    547.18x = 822.15 × 514.38
  4. Step 4: Simplify right side
    547.18x = 422,897.52
  5. Step 5: Solve for x
    x = 422,897.52/547.18
  6. Step 6: Final answer
    x = 772.87

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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.