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Finding the Fourth Proportional to 1,214.26, 1,675.02 and 994.12

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Solution

The fourth proportional to 1,214.26, 1,675.02 and 994.12 is: 1,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.26 : 1,675.02 = 994.12 : x
  2. Step 2: Convert to fraction form
    1,214.26/1,675.02 = 994.12/x
  3. Step 3: Cross multiply
    1,214.26x = 1,675.02 × 994.12
  4. Step 4: Simplify right side
    1,214.26x = 1,665,170.88
  5. Step 5: Solve for x
    x = 1,665,170.88/1,214.26
  6. Step 6: Final answer
    x = 1,371.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.