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Finding the Fourth Proportional to 1,427.16, 1,969.48 and 806.16

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Solution

The fourth proportional to 1,427.16, 1,969.48 and 806.16 is: 1,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.16 : 1,969.48 = 806.16 : x
  2. Step 2: Convert to fraction form
    1,427.16/1,969.48 = 806.16/x
  3. Step 3: Cross multiply
    1,427.16x = 1,969.48 × 806.16
  4. Step 4: Simplify right side
    1,427.16x = 1,587,716.00
  5. Step 5: Solve for x
    x = 1,587,716.00/1,427.16
  6. Step 6: Final answer
    x = 1,112.50

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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.