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Finding the Fourth Proportional to 780.44, 1,170.64 and 642.92

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Solution

The fourth proportional to 780.44, 1,170.64 and 642.92 is: 964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.44 : 1,170.64 = 642.92 : x
  2. Step 2: Convert to fraction form
    780.44/1,170.64 = 642.92/x
  3. Step 3: Cross multiply
    780.44x = 1,170.64 × 642.92
  4. Step 4: Simplify right side
    780.44x = 752,627.87
  5. Step 5: Solve for x
    x = 752,627.87/780.44
  6. Step 6: Final answer
    x = 964.36

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