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Finding the Fourth Proportional to 1,433.72, 1,978.58 and 874.06

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Solution

The fourth proportional to 1,433.72, 1,978.58 and 874.06 is: 1,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.72 : 1,978.58 = 874.06 : x
  2. Step 2: Convert to fraction form
    1,433.72/1,978.58 = 874.06/x
  3. Step 3: Cross multiply
    1,433.72x = 1,978.58 × 874.06
  4. Step 4: Simplify right side
    1,433.72x = 1,729,401.09
  5. Step 5: Solve for x
    x = 1,729,401.09/1,433.72
  6. Step 6: Final answer
    x = 1,206.23

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