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Finding the Fourth Proportional to 848.18, 1,272.25 and 827.24

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Solution

The fourth proportional to 848.18, 1,272.25 and 827.24 is: 1,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.18 : 1,272.25 = 827.24 : x
  2. Step 2: Convert to fraction form
    848.18/1,272.25 = 827.24/x
  3. Step 3: Cross multiply
    848.18x = 1,272.25 × 827.24
  4. Step 4: Simplify right side
    848.18x = 1,052,454.98
  5. Step 5: Solve for x
    x = 1,052,454.98/848.18
  6. Step 6: Final answer
    x = 1,240.84

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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.