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Finding the Fourth Proportional to 729.72, 1,094 and 382.81

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Solution

The fourth proportional to 729.72, 1,094 and 382.81 is: 573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.72 : 1,094 = 382.81 : x
  2. Step 2: Convert to fraction form
    729.72/1,094 = 382.81/x
  3. Step 3: Cross multiply
    729.72x = 1,094 × 382.81
  4. Step 4: Simplify right side
    729.72x = 418,794.14
  5. Step 5: Solve for x
    x = 418,794.14/729.72
  6. Step 6: Final answer
    x = 573.91

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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.