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Finding the Fourth Proportional to 824.72, 1,235.72 and 413.44

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Solution

The fourth proportional to 824.72, 1,235.72 and 413.44 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.72 : 1,235.72 = 413.44 : x
  2. Step 2: Convert to fraction form
    824.72/1,235.72 = 413.44/x
  3. Step 3: Cross multiply
    824.72x = 1,235.72 × 413.44
  4. Step 4: Simplify right side
    824.72x = 510,896.08
  5. Step 5: Solve for x
    x = 510,896.08/824.72
  6. Step 6: Final answer
    x = 619.48

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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.