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Finding the Fourth Proportional to 1,165.19, 1,746.72 and 1,063.74

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Solution

The fourth proportional to 1,165.19, 1,746.72 and 1,063.74 is: 1,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.19 : 1,746.72 = 1,063.74 : x
  2. Step 2: Convert to fraction form
    1,165.19/1,746.72 = 1,063.74/x
  3. Step 3: Cross multiply
    1,165.19x = 1,746.72 × 1,063.74
  4. Step 4: Simplify right side
    1,165.19x = 1,858,044.54
  5. Step 5: Solve for x
    x = 1,858,044.54/1,165.19
  6. Step 6: Final answer
    x = 1,594.63

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