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Finding the Fourth Proportional to 822.22, 1,234.01 and 452.32

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Solution

The fourth proportional to 822.22, 1,234.01 and 452.32 is: 678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.22 : 1,234.01 = 452.32 : x
  2. Step 2: Convert to fraction form
    822.22/1,234.01 = 452.32/x
  3. Step 3: Cross multiply
    822.22x = 1,234.01 × 452.32
  4. Step 4: Simplify right side
    822.22x = 558,167.40
  5. Step 5: Solve for x
    x = 558,167.40/822.22
  6. Step 6: Final answer
    x = 678.85

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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.