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Finding the Fourth Proportional to 1,313.64, 1,960.29 and 1,168.20

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Solution

The fourth proportional to 1,313.64, 1,960.29 and 1,168.20 is: 1,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.64 : 1,960.29 = 1,168.20 : x
  2. Step 2: Convert to fraction form
    1,313.64/1,960.29 = 1,168.20/x
  3. Step 3: Cross multiply
    1,313.64x = 1,960.29 × 1,168.20
  4. Step 4: Simplify right side
    1,313.64x = 2,290,010.78
  5. Step 5: Solve for x
    x = 2,290,010.78/1,313.64
  6. Step 6: Final answer
    x = 1,743.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.