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Finding the Fourth Proportional to 821.36, 1,231.46 and 730.22

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Solution

The fourth proportional to 821.36, 1,231.46 and 730.22 is: 1,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.36 : 1,231.46 = 730.22 : x
  2. Step 2: Convert to fraction form
    821.36/1,231.46 = 730.22/x
  3. Step 3: Cross multiply
    821.36x = 1,231.46 × 730.22
  4. Step 4: Simplify right side
    821.36x = 899,236.72
  5. Step 5: Solve for x
    x = 899,236.72/821.36
  6. Step 6: Final answer
    x = 1,094.81

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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.