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Finding the Fourth Proportional to 823.96, 1,234.82 and 413.39

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Solution

The fourth proportional to 823.96, 1,234.82 and 413.39 is: 619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.96 : 1,234.82 = 413.39 : x
  2. Step 2: Convert to fraction form
    823.96/1,234.82 = 413.39/x
  3. Step 3: Cross multiply
    823.96x = 1,234.82 × 413.39
  4. Step 4: Simplify right side
    823.96x = 510,462.24
  5. Step 5: Solve for x
    x = 510,462.24/823.96
  6. Step 6: Final answer
    x = 619.52

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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.