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Finding the Fourth Proportional to 1,219.08, 1,680.57 and 845.49

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Solution

The fourth proportional to 1,219.08, 1,680.57 and 845.49 is: 1,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.08 : 1,680.57 = 845.49 : x
  2. Step 2: Convert to fraction form
    1,219.08/1,680.57 = 845.49/x
  3. Step 3: Cross multiply
    1,219.08x = 1,680.57 × 845.49
  4. Step 4: Simplify right side
    1,219.08x = 1,420,905.13
  5. Step 5: Solve for x
    x = 1,420,905.13/1,219.08
  6. Step 6: Final answer
    x = 1,165.56

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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.