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Finding the Fourth Proportional to 800.06, 1,199.93 and 646.88

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Solution

The fourth proportional to 800.06, 1,199.93 and 646.88 is: 970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.06 : 1,199.93 = 646.88 : x
  2. Step 2: Convert to fraction form
    800.06/1,199.93 = 646.88/x
  3. Step 3: Cross multiply
    800.06x = 1,199.93 × 646.88
  4. Step 4: Simplify right side
    800.06x = 776,201.48
  5. Step 5: Solve for x
    x = 776,201.48/800.06
  6. Step 6: Final answer
    x = 970.19

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