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Finding the Fourth Proportional to 1,589.69, 2,382.81 and 665.00

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Solution

The fourth proportional to 1,589.69, 2,382.81 and 665.00 is: 996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.69 : 2,382.81 = 665.00 : x
  2. Step 2: Convert to fraction form
    1,589.69/2,382.81 = 665.00/x
  3. Step 3: Cross multiply
    1,589.69x = 2,382.81 × 665.00
  4. Step 4: Simplify right side
    1,589.69x = 1,584,556.74
  5. Step 5: Solve for x
    x = 1,584,556.74/1,589.69
  6. Step 6: Final answer
    x = 996.77

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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.