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Finding the Fourth Proportional to 1,111.69, 1,667.79 and 381.27

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Solution

The fourth proportional to 1,111.69, 1,667.79 and 381.27 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.69 : 1,667.79 = 381.27 : x
  2. Step 2: Convert to fraction form
    1,111.69/1,667.79 = 381.27/x
  3. Step 3: Cross multiply
    1,111.69x = 1,667.79 × 381.27
  4. Step 4: Simplify right side
    1,111.69x = 635,878.29
  5. Step 5: Solve for x
    x = 635,878.29/1,111.69
  6. Step 6: Final answer
    x = 571.99

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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.