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Finding the Fourth Proportional to 1,161.64, 1,743.38 and 1,024.96

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Solution

The fourth proportional to 1,161.64, 1,743.38 and 1,024.96 is: 1,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.64 : 1,743.38 = 1,024.96 : x
  2. Step 2: Convert to fraction form
    1,161.64/1,743.38 = 1,024.96/x
  3. Step 3: Cross multiply
    1,161.64x = 1,743.38 × 1,024.96
  4. Step 4: Simplify right side
    1,161.64x = 1,786,894.76
  5. Step 5: Solve for x
    x = 1,786,894.76/1,161.64
  6. Step 6: Final answer
    x = 1,538.25

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