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Finding the Fourth Proportional to 1,221.43, 1,832.14 and 857.84

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Solution

The fourth proportional to 1,221.43, 1,832.14 and 857.84 is: 1,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.43 : 1,832.14 = 857.84 : x
  2. Step 2: Convert to fraction form
    1,221.43/1,832.14 = 857.84/x
  3. Step 3: Cross multiply
    1,221.43x = 1,832.14 × 857.84
  4. Step 4: Simplify right side
    1,221.43x = 1,571,687.61
  5. Step 5: Solve for x
    x = 1,571,687.61/1,221.43
  6. Step 6: Final answer
    x = 1,286.76

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1.5x scale

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.