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Finding the Fourth Proportional to 822.67, 1,234.10 and 302.58

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Solution

The fourth proportional to 822.67, 1,234.10 and 302.58 is: 453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.67 : 1,234.10 = 302.58 : x
  2. Step 2: Convert to fraction form
    822.67/1,234.10 = 302.58/x
  3. Step 3: Cross multiply
    822.67x = 1,234.10 × 302.58
  4. Step 4: Simplify right side
    822.67x = 373,414.73
  5. Step 5: Solve for x
    x = 373,414.73/822.67
  6. Step 6: Final answer
    x = 453.91

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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.