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Finding the Fourth Proportional to 1,095.76, 1,646 and 808.84

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Solution

The fourth proportional to 1,095.76, 1,646 and 808.84 is: 1,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.76 : 1,646 = 808.84 : x
  2. Step 2: Convert to fraction form
    1,095.76/1,646 = 808.84/x
  3. Step 3: Cross multiply
    1,095.76x = 1,646 × 808.84
  4. Step 4: Simplify right side
    1,095.76x = 1,331,350.64
  5. Step 5: Solve for x
    x = 1,331,350.64/1,095.76
  6. Step 6: Final answer
    x = 1,215.00

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