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Finding the Fourth Proportional to 848.35, 1,272.54 and 271.22

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Solution

The fourth proportional to 848.35, 1,272.54 and 271.22 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.35 : 1,272.54 = 271.22 : x
  2. Step 2: Convert to fraction form
    848.35/1,272.54 = 271.22/x
  3. Step 3: Cross multiply
    848.35x = 1,272.54 × 271.22
  4. Step 4: Simplify right side
    848.35x = 345,138.30
  5. Step 5: Solve for x
    x = 345,138.30/848.35
  6. Step 6: Final answer
    x = 406.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.