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Finding the Fourth Proportional to 1,066.03, 1,598.43 and 416.02

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Solution

The fourth proportional to 1,066.03, 1,598.43 and 416.02 is: 623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.03 : 1,598.43 = 416.02 : x
  2. Step 2: Convert to fraction form
    1,066.03/1,598.43 = 416.02/x
  3. Step 3: Cross multiply
    1,066.03x = 1,598.43 × 416.02
  4. Step 4: Simplify right side
    1,066.03x = 664,978.85
  5. Step 5: Solve for x
    x = 664,978.85/1,066.03
  6. Step 6: Final answer
    x = 623.79

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