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Finding the Fourth Proportional to 1,186.02, 1,779.27 and 405.96

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Solution

The fourth proportional to 1,186.02, 1,779.27 and 405.96 is: 609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.02 : 1,779.27 = 405.96 : x
  2. Step 2: Convert to fraction form
    1,186.02/1,779.27 = 405.96/x
  3. Step 3: Cross multiply
    1,186.02x = 1,779.27 × 405.96
  4. Step 4: Simplify right side
    1,186.02x = 722,312.45
  5. Step 5: Solve for x
    x = 722,312.45/1,186.02
  6. Step 6: Final answer
    x = 609.02

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