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Finding the Fourth Proportional to 767.02, 1,149.99 and 402.06

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Solution

The fourth proportional to 767.02, 1,149.99 and 402.06 is: 602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.02 : 1,149.99 = 402.06 : x
  2. Step 2: Convert to fraction form
    767.02/1,149.99 = 402.06/x
  3. Step 3: Cross multiply
    767.02x = 1,149.99 × 402.06
  4. Step 4: Simplify right side
    767.02x = 462,364.98
  5. Step 5: Solve for x
    x = 462,364.98/767.02
  6. Step 6: Final answer
    x = 602.81

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