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Finding the Fourth Proportional to 857.09, 1,286.04 and 446.01

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Solution

The fourth proportional to 857.09, 1,286.04 and 446.01 is: 669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.09 : 1,286.04 = 446.01 : x
  2. Step 2: Convert to fraction form
    857.09/1,286.04 = 446.01/x
  3. Step 3: Cross multiply
    857.09x = 1,286.04 × 446.01
  4. Step 4: Simplify right side
    857.09x = 573,586.70
  5. Step 5: Solve for x
    x = 573,586.70/857.09
  6. Step 6: Final answer
    x = 669.23

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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.