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Finding the Fourth Proportional to 1,257.03, 1,886.00 and 563.63

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Solution

The fourth proportional to 1,257.03, 1,886.00 and 563.63 is: 845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.03 : 1,886.00 = 563.63 : x
  2. Step 2: Convert to fraction form
    1,257.03/1,886.00 = 563.63/x
  3. Step 3: Cross multiply
    1,257.03x = 1,886.00 × 563.63
  4. Step 4: Simplify right side
    1,257.03x = 1,062,993.93
  5. Step 5: Solve for x
    x = 1,062,993.93/1,257.03
  6. Step 6: Final answer
    x = 845.64

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