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Finding the Fourth Proportional to 822.22, 1,232.05 and 729.86

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Solution

The fourth proportional to 822.22, 1,232.05 and 729.86 is: 1,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.22 : 1,232.05 = 729.86 : x
  2. Step 2: Convert to fraction form
    822.22/1,232.05 = 729.86/x
  3. Step 3: Cross multiply
    822.22x = 1,232.05 × 729.86
  4. Step 4: Simplify right side
    822.22x = 899,224.01
  5. Step 5: Solve for x
    x = 899,224.01/822.22
  6. Step 6: Final answer
    x = 1,093.65

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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.