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Finding the Fourth Proportional to 848.97, 1,272.33 and 827.51

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Solution

The fourth proportional to 848.97, 1,272.33 and 827.51 is: 1,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.97 : 1,272.33 = 827.51 : x
  2. Step 2: Convert to fraction form
    848.97/1,272.33 = 827.51/x
  3. Step 3: Cross multiply
    848.97x = 1,272.33 × 827.51
  4. Step 4: Simplify right side
    848.97x = 1,052,859.44
  5. Step 5: Solve for x
    x = 1,052,859.44/848.97
  6. Step 6: Final answer
    x = 1,240.16

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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.