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Finding the Fourth Proportional to 1,111.42, 1,667.31 and 380.81

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Solution

The fourth proportional to 1,111.42, 1,667.31 and 380.81 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.42 : 1,667.31 = 380.81 : x
  2. Step 2: Convert to fraction form
    1,111.42/1,667.31 = 380.81/x
  3. Step 3: Cross multiply
    1,111.42x = 1,667.31 × 380.81
  4. Step 4: Simplify right side
    1,111.42x = 634,928.32
  5. Step 5: Solve for x
    x = 634,928.32/1,111.42
  6. Step 6: Final answer
    x = 571.28

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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.