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Finding the Fourth Proportional to 1,111.29, 1,667.12 and 380.70

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Solution

The fourth proportional to 1,111.29, 1,667.12 and 380.70 is: 571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.29 : 1,667.12 = 380.70 : x
  2. Step 2: Convert to fraction form
    1,111.29/1,667.12 = 380.70/x
  3. Step 3: Cross multiply
    1,111.29x = 1,667.12 × 380.70
  4. Step 4: Simplify right side
    1,111.29x = 634,670.68
  5. Step 5: Solve for x
    x = 634,670.68/1,111.29
  6. Step 6: Final answer
    x = 571.11

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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.