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Finding the Fourth Proportional to 1,433.78, 1,978.25 and 874.19

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Solution

The fourth proportional to 1,433.78, 1,978.25 and 874.19 is: 1,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.78 : 1,978.25 = 874.19 : x
  2. Step 2: Convert to fraction form
    1,433.78/1,978.25 = 874.19/x
  3. Step 3: Cross multiply
    1,433.78x = 1,978.25 × 874.19
  4. Step 4: Simplify right side
    1,433.78x = 1,729,369.40
  5. Step 5: Solve for x
    x = 1,729,369.40/1,433.78
  6. Step 6: Final answer
    x = 1,206.16

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