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Finding the Fourth Proportional to 822.35, 1,234.05 and 493.04

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Solution

The fourth proportional to 822.35, 1,234.05 and 493.04 is: 739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.35 : 1,234.05 = 493.04 : x
  2. Step 2: Convert to fraction form
    822.35/1,234.05 = 493.04/x
  3. Step 3: Cross multiply
    822.35x = 1,234.05 × 493.04
  4. Step 4: Simplify right side
    822.35x = 608,429.84
  5. Step 5: Solve for x
    x = 608,429.84/822.35
  6. Step 6: Final answer
    x = 739.87

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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.