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Finding the Fourth Proportional to 805.07, 1,205.78 and 659.27

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Solution

The fourth proportional to 805.07, 1,205.78 and 659.27 is: 987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.07 : 1,205.78 = 659.27 : x
  2. Step 2: Convert to fraction form
    805.07/1,205.78 = 659.27/x
  3. Step 3: Cross multiply
    805.07x = 1,205.78 × 659.27
  4. Step 4: Simplify right side
    805.07x = 794,934.30
  5. Step 5: Solve for x
    x = 794,934.30/805.07
  6. Step 6: Final answer
    x = 987.41

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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.