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Finding the Fourth Proportional to 1,588.82, 2,383.83 and 665

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Solution

The fourth proportional to 1,588.82, 2,383.83 and 665 is: 997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.82 : 2,383.83 = 665 : x
  2. Step 2: Convert to fraction form
    1,588.82/2,383.83 = 665/x
  3. Step 3: Cross multiply
    1,588.82x = 2,383.83 × 665
  4. Step 4: Simplify right side
    1,588.82x = 1,585,246.95
  5. Step 5: Solve for x
    x = 1,585,246.95/1,588.82
  6. Step 6: Final answer
    x = 997.75

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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.