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Finding the Fourth Proportional to 1,111.94, 1,667.87 and 290.21

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Solution

The fourth proportional to 1,111.94, 1,667.87 and 290.21 is: 435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.94 : 1,667.87 = 290.21 : x
  2. Step 2: Convert to fraction form
    1,111.94/1,667.87 = 290.21/x
  3. Step 3: Cross multiply
    1,111.94x = 1,667.87 × 290.21
  4. Step 4: Simplify right side
    1,111.94x = 484,022.76
  5. Step 5: Solve for x
    x = 484,022.76/1,111.94
  6. Step 6: Final answer
    x = 435.30

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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.