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Finding the Fourth Proportional to 1,327.66, 1,991.79 and 505.91

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Solution

The fourth proportional to 1,327.66, 1,991.79 and 505.91 is: 758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.66 : 1,991.79 = 505.91 : x
  2. Step 2: Convert to fraction form
    1,327.66/1,991.79 = 505.91/x
  3. Step 3: Cross multiply
    1,327.66x = 1,991.79 × 505.91
  4. Step 4: Simplify right side
    1,327.66x = 1,007,671.46
  5. Step 5: Solve for x
    x = 1,007,671.46/1,327.66
  6. Step 6: Final answer
    x = 758.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.