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Finding the Fourth Proportional to 1,297.23, 1,797.75 and 1,272.62

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Solution

The fourth proportional to 1,297.23, 1,797.75 and 1,272.62 is: 1,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.23 : 1,797.75 = 1,272.62 : x
  2. Step 2: Convert to fraction form
    1,297.23/1,797.75 = 1,272.62/x
  3. Step 3: Cross multiply
    1,297.23x = 1,797.75 × 1,272.62
  4. Step 4: Simplify right side
    1,297.23x = 2,287,852.61
  5. Step 5: Solve for x
    x = 2,287,852.61/1,297.23
  6. Step 6: Final answer
    x = 1,763.64

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.