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Finding the Fourth Proportional to 1,012.85, 1,388.62 and 994.40

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Solution

The fourth proportional to 1,012.85, 1,388.62 and 994.40 is: 1,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.85 : 1,388.62 = 994.40 : x
  2. Step 2: Convert to fraction form
    1,012.85/1,388.62 = 994.40/x
  3. Step 3: Cross multiply
    1,012.85x = 1,388.62 × 994.40
  4. Step 4: Simplify right side
    1,012.85x = 1,380,845.84
  5. Step 5: Solve for x
    x = 1,380,845.84/1,012.85
  6. Step 6: Final answer
    x = 1,363.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.