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Finding the Fourth Proportional to 1,232.20, 1,698.63 and 936.97

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Solution

The fourth proportional to 1,232.20, 1,698.63 and 936.97 is: 1,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.20 : 1,698.63 = 936.97 : x
  2. Step 2: Convert to fraction form
    1,232.20/1,698.63 = 936.97/x
  3. Step 3: Cross multiply
    1,232.20x = 1,698.63 × 936.97
  4. Step 4: Simplify right side
    1,232.20x = 1,591,565.35
  5. Step 5: Solve for x
    x = 1,591,565.35/1,232.20
  6. Step 6: Final answer
    x = 1,291.65

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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.