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Finding the Fourth Proportional to 1,111.62, 1,667.16 and 380.73

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Solution

The fourth proportional to 1,111.62, 1,667.16 and 380.73 is: 571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.62 : 1,667.16 = 380.73 : x
  2. Step 2: Convert to fraction form
    1,111.62/1,667.16 = 380.73/x
  3. Step 3: Cross multiply
    1,111.62x = 1,667.16 × 380.73
  4. Step 4: Simplify right side
    1,111.62x = 634,737.83
  5. Step 5: Solve for x
    x = 634,737.83/1,111.62
  6. Step 6: Final answer
    x = 571.00

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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.