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Finding the Fourth Proportional to 729.66, 1,093.23 and 523.23

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Solution

The fourth proportional to 729.66, 1,093.23 and 523.23 is: 783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.66 : 1,093.23 = 523.23 : x
  2. Step 2: Convert to fraction form
    729.66/1,093.23 = 523.23/x
  3. Step 3: Cross multiply
    729.66x = 1,093.23 × 523.23
  4. Step 4: Simplify right side
    729.66x = 572,010.73
  5. Step 5: Solve for x
    x = 572,010.73/729.66
  6. Step 6: Final answer
    x = 783.94

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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.