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Finding the Fourth Proportional to 1,366.36, 1,886.43 and 842.56

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Solution

The fourth proportional to 1,366.36, 1,886.43 and 842.56 is: 1,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.36 : 1,886.43 = 842.56 : x
  2. Step 2: Convert to fraction form
    1,366.36/1,886.43 = 842.56/x
  3. Step 3: Cross multiply
    1,366.36x = 1,886.43 × 842.56
  4. Step 4: Simplify right side
    1,366.36x = 1,589,430.46
  5. Step 5: Solve for x
    x = 1,589,430.46/1,366.36
  6. Step 6: Final answer
    x = 1,163.26

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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.