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Finding the Fourth Proportional to 729.14, 1,094.42 and 552.83

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Solution

The fourth proportional to 729.14, 1,094.42 and 552.83 is: 829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.14 : 1,094.42 = 552.83 : x
  2. Step 2: Convert to fraction form
    729.14/1,094.42 = 552.83/x
  3. Step 3: Cross multiply
    729.14x = 1,094.42 × 552.83
  4. Step 4: Simplify right side
    729.14x = 605,025.44
  5. Step 5: Solve for x
    x = 605,025.44/729.14
  6. Step 6: Final answer
    x = 829.78

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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.