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Finding the Fourth Proportional to 825.02, 1,235.94 and 413.67

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Solution

The fourth proportional to 825.02, 1,235.94 and 413.67 is: 619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.02 : 1,235.94 = 413.67 : x
  2. Step 2: Convert to fraction form
    825.02/1,235.94 = 413.67/x
  3. Step 3: Cross multiply
    825.02x = 1,235.94 × 413.67
  4. Step 4: Simplify right side
    825.02x = 511,271.30
  5. Step 5: Solve for x
    x = 511,271.30/825.02
  6. Step 6: Final answer
    x = 619.71

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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.