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Finding the Fourth Proportional to 1,216.95, 1,680.20 and 936.69

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Solution

The fourth proportional to 1,216.95, 1,680.20 and 936.69 is: 1,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.95 : 1,680.20 = 936.69 : x
  2. Step 2: Convert to fraction form
    1,216.95/1,680.20 = 936.69/x
  3. Step 3: Cross multiply
    1,216.95x = 1,680.20 × 936.69
  4. Step 4: Simplify right side
    1,216.95x = 1,573,826.54
  5. Step 5: Solve for x
    x = 1,573,826.54/1,216.95
  6. Step 6: Final answer
    x = 1,293.25

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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.