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Finding the Fourth Proportional to 729.90, 1,093.64 and 513.09

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Solution

The fourth proportional to 729.90, 1,093.64 and 513.09 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.90 : 1,093.64 = 513.09 : x
  2. Step 2: Convert to fraction form
    729.90/1,093.64 = 513.09/x
  3. Step 3: Cross multiply
    729.90x = 1,093.64 × 513.09
  4. Step 4: Simplify right side
    729.90x = 561,133.18
  5. Step 5: Solve for x
    x = 561,133.18/729.90
  6. Step 6: Final answer
    x = 768.78

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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.