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Finding the Fourth Proportional to 659.73, 987.44 and 486.33

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Solution

The fourth proportional to 659.73, 987.44 and 486.33 is: 727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.73 : 987.44 = 486.33 : x
  2. Step 2: Convert to fraction form
    659.73/987.44 = 486.33/x
  3. Step 3: Cross multiply
    659.73x = 987.44 × 486.33
  4. Step 4: Simplify right side
    659.73x = 480,221.70
  5. Step 5: Solve for x
    x = 480,221.70/659.73
  6. Step 6: Final answer
    x = 727.91

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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.