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Finding the Fourth Proportional to 729.85, 1,094.77 and 182.03

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Solution

The fourth proportional to 729.85, 1,094.77 and 182.03 is: 273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.85 : 1,094.77 = 182.03 : x
  2. Step 2: Convert to fraction form
    729.85/1,094.77 = 182.03/x
  3. Step 3: Cross multiply
    729.85x = 1,094.77 × 182.03
  4. Step 4: Simplify right side
    729.85x = 199,279.71
  5. Step 5: Solve for x
    x = 199,279.71/729.85
  6. Step 6: Final answer
    x = 273.04

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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.