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Finding the Fourth Proportional to 1,588.38, 2,382.74 and 664.49

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Solution

The fourth proportional to 1,588.38, 2,382.74 and 664.49 is: 996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.38 : 2,382.74 = 664.49 : x
  2. Step 2: Convert to fraction form
    1,588.38/2,382.74 = 664.49/x
  3. Step 3: Cross multiply
    1,588.38x = 2,382.74 × 664.49
  4. Step 4: Simplify right side
    1,588.38x = 1,583,291.67
  5. Step 5: Solve for x
    x = 1,583,291.67/1,588.38
  6. Step 6: Final answer
    x = 996.80

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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.