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Finding the Fourth Proportional to 857.75, 1,284.19 and 548.84

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Solution

The fourth proportional to 857.75, 1,284.19 and 548.84 is: 821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.75 : 1,284.19 = 548.84 : x
  2. Step 2: Convert to fraction form
    857.75/1,284.19 = 548.84/x
  3. Step 3: Cross multiply
    857.75x = 1,284.19 × 548.84
  4. Step 4: Simplify right side
    857.75x = 704,816.68
  5. Step 5: Solve for x
    x = 704,816.68/857.75
  6. Step 6: Final answer
    x = 821.71

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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.