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Finding the Fourth Proportional to 822.99, 1,234.02 and 335.48

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Solution

The fourth proportional to 822.99, 1,234.02 and 335.48 is: 503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.99 : 1,234.02 = 335.48 : x
  2. Step 2: Convert to fraction form
    822.99/1,234.02 = 335.48/x
  3. Step 3: Cross multiply
    822.99x = 1,234.02 × 335.48
  4. Step 4: Simplify right side
    822.99x = 413,982.86
  5. Step 5: Solve for x
    x = 413,982.86/822.99
  6. Step 6: Final answer
    x = 503.02

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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.