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Finding the Fourth Proportional to 729.44, 1,093.12 and 523.55

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Solution

The fourth proportional to 729.44, 1,093.12 and 523.55 is: 784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.44 : 1,093.12 = 523.55 : x
  2. Step 2: Convert to fraction form
    729.44/1,093.12 = 523.55/x
  3. Step 3: Cross multiply
    729.44x = 1,093.12 × 523.55
  4. Step 4: Simplify right side
    729.44x = 572,297.51
  5. Step 5: Solve for x
    x = 572,297.51/729.44
  6. Step 6: Final answer
    x = 784.58

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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.