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Finding the Fourth Proportional to 825.15, 1,237.32 and 413.67

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Solution

The fourth proportional to 825.15, 1,237.32 and 413.67 is: 620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.15 : 1,237.32 = 413.67 : x
  2. Step 2: Convert to fraction form
    825.15/1,237.32 = 413.67/x
  3. Step 3: Cross multiply
    825.15x = 1,237.32 × 413.67
  4. Step 4: Simplify right side
    825.15x = 511,842.16
  5. Step 5: Solve for x
    x = 511,842.16/825.15
  6. Step 6: Final answer
    x = 620.30

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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.