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Finding the Fourth Proportional to 825.03, 1,235.97 and 413.69

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Solution

The fourth proportional to 825.03, 1,235.97 and 413.69 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.03 : 1,235.97 = 413.69 : x
  2. Step 2: Convert to fraction form
    825.03/1,235.97 = 413.69/x
  3. Step 3: Cross multiply
    825.03x = 1,235.97 × 413.69
  4. Step 4: Simplify right side
    825.03x = 511,302.25
  5. Step 5: Solve for x
    x = 511,302.25/825.03
  6. Step 6: Final answer
    x = 619.74

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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.