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Finding the Fourth Proportional to 1,584.09, 2,376.75 and 659.41

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Solution

The fourth proportional to 1,584.09, 2,376.75 and 659.41 is: 989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.09 : 2,376.75 = 659.41 : x
  2. Step 2: Convert to fraction form
    1,584.09/2,376.75 = 659.41/x
  3. Step 3: Cross multiply
    1,584.09x = 2,376.75 × 659.41
  4. Step 4: Simplify right side
    1,584.09x = 1,567,252.72
  5. Step 5: Solve for x
    x = 1,567,252.72/1,584.09
  6. Step 6: Final answer
    x = 989.37

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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.