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Finding the Fourth Proportional to 1,588.98, 2,384.09 and 664.31

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Solution

The fourth proportional to 1,588.98, 2,384.09 and 664.31 is: 996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.98 : 2,384.09 = 664.31 : x
  2. Step 2: Convert to fraction form
    1,588.98/2,384.09 = 664.31/x
  3. Step 3: Cross multiply
    1,588.98x = 2,384.09 × 664.31
  4. Step 4: Simplify right side
    1,588.98x = 1,583,759.59
  5. Step 5: Solve for x
    x = 1,583,759.59/1,588.98
  6. Step 6: Final answer
    x = 996.71

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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.