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Finding the Fourth Proportional to 729.77, 1,094.25 and 524.44

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Solution

The fourth proportional to 729.77, 1,094.25 and 524.44 is: 786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.77 : 1,094.25 = 524.44 : x
  2. Step 2: Convert to fraction form
    729.77/1,094.25 = 524.44/x
  3. Step 3: Cross multiply
    729.77x = 1,094.25 × 524.44
  4. Step 4: Simplify right side
    729.77x = 573,865.73
  5. Step 5: Solve for x
    x = 573,865.73/729.77
  6. Step 6: Final answer
    x = 786.36

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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.