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Finding the Fourth Proportional to 1,111.06, 1,667.42 and 418.41

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Solution

The fourth proportional to 1,111.06, 1,667.42 and 418.41 is: 627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.06 : 1,667.42 = 418.41 : x
  2. Step 2: Convert to fraction form
    1,111.06/1,667.42 = 418.41/x
  3. Step 3: Cross multiply
    1,111.06x = 1,667.42 × 418.41
  4. Step 4: Simplify right side
    1,111.06x = 697,654.77
  5. Step 5: Solve for x
    x = 697,654.77/1,111.06
  6. Step 6: Final answer
    x = 627.92

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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.