Home / 1,588.31-2,382.66-664.50

Finding the Fourth Proportional to 1,588.31, 2,382.66 and 664.50

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Solution

The fourth proportional to 1,588.31, 2,382.66 and 664.50 is: 996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.31 : 2,382.66 = 664.50 : x
  2. Step 2: Convert to fraction form
    1,588.31/2,382.66 = 664.50/x
  3. Step 3: Cross multiply
    1,588.31x = 2,382.66 × 664.50
  4. Step 4: Simplify right side
    1,588.31x = 1,583,277.57
  5. Step 5: Solve for x
    x = 1,583,277.57/1,588.31
  6. Step 6: Final answer
    x = 996.83

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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.