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Finding the Fourth Proportional to 829.54, 1,244.62 and 413.25

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Solution

The fourth proportional to 829.54, 1,244.62 and 413.25 is: 620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.54 : 1,244.62 = 413.25 : x
  2. Step 2: Convert to fraction form
    829.54/1,244.62 = 413.25/x
  3. Step 3: Cross multiply
    829.54x = 1,244.62 × 413.25
  4. Step 4: Simplify right side
    829.54x = 514,339.74
  5. Step 5: Solve for x
    x = 514,339.74/829.54
  6. Step 6: Final answer
    x = 620.03

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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.