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Finding the Fourth Proportional to 1,427.63, 1,970.19 and 806.63

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Solution

The fourth proportional to 1,427.63, 1,970.19 and 806.63 is: 1,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.63 : 1,970.19 = 806.63 : x
  2. Step 2: Convert to fraction form
    1,427.63/1,970.19 = 806.63/x
  3. Step 3: Cross multiply
    1,427.63x = 1,970.19 × 806.63
  4. Step 4: Simplify right side
    1,427.63x = 1,589,204.51
  5. Step 5: Solve for x
    x = 1,589,204.51/1,427.63
  6. Step 6: Final answer
    x = 1,113.18

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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.