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Finding the Fourth Proportional to 1,327.37, 1,991.36 and 505.65

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Solution

The fourth proportional to 1,327.37, 1,991.36 and 505.65 is: 758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.37 : 1,991.36 = 505.65 : x
  2. Step 2: Convert to fraction form
    1,327.37/1,991.36 = 505.65/x
  3. Step 3: Cross multiply
    1,327.37x = 1,991.36 × 505.65
  4. Step 4: Simplify right side
    1,327.37x = 1,006,928.66
  5. Step 5: Solve for x
    x = 1,006,928.66/1,327.37
  6. Step 6: Final answer
    x = 758.59

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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.