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Finding the Fourth Proportional to 822.60, 1,234.50 and 452.43

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Solution

The fourth proportional to 822.60, 1,234.50 and 452.43 is: 678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.60 : 1,234.50 = 452.43 : x
  2. Step 2: Convert to fraction form
    822.60/1,234.50 = 452.43/x
  3. Step 3: Cross multiply
    822.60x = 1,234.50 × 452.43
  4. Step 4: Simplify right side
    822.60x = 558,524.84
  5. Step 5: Solve for x
    x = 558,524.84/822.60
  6. Step 6: Final answer
    x = 678.98

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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.