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Finding the Fourth Proportional to 859.50, 1,286.06 and 513.03

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Solution

The fourth proportional to 859.50, 1,286.06 and 513.03 is: 767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.50 : 1,286.06 = 513.03 : x
  2. Step 2: Convert to fraction form
    859.50/1,286.06 = 513.03/x
  3. Step 3: Cross multiply
    859.50x = 1,286.06 × 513.03
  4. Step 4: Simplify right side
    859.50x = 659,787.36
  5. Step 5: Solve for x
    x = 659,787.36/859.50
  6. Step 6: Final answer
    x = 767.64

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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.