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Finding the Fourth Proportional to 823.55, 1,234.71 and 336.60

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Solution

The fourth proportional to 823.55, 1,234.71 and 336.60 is: 504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.55 : 1,234.71 = 336.60 : x
  2. Step 2: Convert to fraction form
    823.55/1,234.71 = 336.60/x
  3. Step 3: Cross multiply
    823.55x = 1,234.71 × 336.60
  4. Step 4: Simplify right side
    823.55x = 415,603.39
  5. Step 5: Solve for x
    x = 415,603.39/823.55
  6. Step 6: Final answer
    x = 504.65

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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.