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Finding the Fourth Proportional to 1,093.76, 1,641.09 and 802.74

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Solution

The fourth proportional to 1,093.76, 1,641.09 and 802.74 is: 1,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.76 : 1,641.09 = 802.74 : x
  2. Step 2: Convert to fraction form
    1,093.76/1,641.09 = 802.74/x
  3. Step 3: Cross multiply
    1,093.76x = 1,641.09 × 802.74
  4. Step 4: Simplify right side
    1,093.76x = 1,317,372.69
  5. Step 5: Solve for x
    x = 1,317,372.69/1,093.76
  6. Step 6: Final answer
    x = 1,204.44

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