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Finding the Fourth Proportional to 823.17, 1,234.05 and 335.91

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Solution

The fourth proportional to 823.17, 1,234.05 and 335.91 is: 503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.17 : 1,234.05 = 335.91 : x
  2. Step 2: Convert to fraction form
    823.17/1,234.05 = 335.91/x
  3. Step 3: Cross multiply
    823.17x = 1,234.05 × 335.91
  4. Step 4: Simplify right side
    823.17x = 414,533.10
  5. Step 5: Solve for x
    x = 414,533.10/823.17
  6. Step 6: Final answer
    x = 503.58

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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.