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Finding the Fourth Proportional to 847.86, 1,272.03 and 270.78

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Solution

The fourth proportional to 847.86, 1,272.03 and 270.78 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.86 : 1,272.03 = 270.78 : x
  2. Step 2: Convert to fraction form
    847.86/1,272.03 = 270.78/x
  3. Step 3: Cross multiply
    847.86x = 1,272.03 × 270.78
  4. Step 4: Simplify right side
    847.86x = 344,440.28
  5. Step 5: Solve for x
    x = 344,440.28/847.86
  6. Step 6: Final answer
    x = 406.25

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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.