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Finding the Fourth Proportional to 1,106.89, 1,657.63 and 1,077.73

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Solution

The fourth proportional to 1,106.89, 1,657.63 and 1,077.73 is: 1,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.89 : 1,657.63 = 1,077.73 : x
  2. Step 2: Convert to fraction form
    1,106.89/1,657.63 = 1,077.73/x
  3. Step 3: Cross multiply
    1,106.89x = 1,657.63 × 1,077.73
  4. Step 4: Simplify right side
    1,106.89x = 1,786,477.58
  5. Step 5: Solve for x
    x = 1,786,477.58/1,106.89
  6. Step 6: Final answer
    x = 1,613.96

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