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Finding the Fourth Proportional to 847.23, 1,270.46 and 408.69

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Solution

The fourth proportional to 847.23, 1,270.46 and 408.69 is: 612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.23 : 1,270.46 = 408.69 : x
  2. Step 2: Convert to fraction form
    847.23/1,270.46 = 408.69/x
  3. Step 3: Cross multiply
    847.23x = 1,270.46 × 408.69
  4. Step 4: Simplify right side
    847.23x = 519,224.30
  5. Step 5: Solve for x
    x = 519,224.30/847.23
  6. Step 6: Final answer
    x = 612.85

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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.