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Finding the Fourth Proportional to 1,584.82, 2,377.23 and 659.80

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Solution

The fourth proportional to 1,584.82, 2,377.23 and 659.80 is: 989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.82 : 2,377.23 = 659.80 : x
  2. Step 2: Convert to fraction form
    1,584.82/2,377.23 = 659.80/x
  3. Step 3: Cross multiply
    1,584.82x = 2,377.23 × 659.80
  4. Step 4: Simplify right side
    1,584.82x = 1,568,496.35
  5. Step 5: Solve for x
    x = 1,568,496.35/1,584.82
  6. Step 6: Final answer
    x = 989.70

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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.