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Finding the Fourth Proportional to 848.25, 1,272.60 and 271.17

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Solution

The fourth proportional to 848.25, 1,272.60 and 271.17 is: 406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.25 : 1,272.60 = 271.17 : x
  2. Step 2: Convert to fraction form
    848.25/1,272.60 = 271.17/x
  3. Step 3: Cross multiply
    848.25x = 1,272.60 × 271.17
  4. Step 4: Simplify right side
    848.25x = 345,090.94
  5. Step 5: Solve for x
    x = 345,090.94/848.25
  6. Step 6: Final answer
    x = 406.83

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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.