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Finding the Fourth Proportional to 1,589.61, 2,383.78 and 664.54

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Solution

The fourth proportional to 1,589.61, 2,383.78 and 664.54 is: 996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.61 : 2,383.78 = 664.54 : x
  2. Step 2: Convert to fraction form
    1,589.61/2,383.78 = 664.54/x
  3. Step 3: Cross multiply
    1,589.61x = 2,383.78 × 664.54
  4. Step 4: Simplify right side
    1,589.61x = 1,584,117.16
  5. Step 5: Solve for x
    x = 1,584,117.16/1,589.61
  6. Step 6: Final answer
    x = 996.54

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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.