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Finding the Fourth Proportional to 1,467.05, 2,199.53 and 686.63

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Solution

The fourth proportional to 1,467.05, 2,199.53 and 686.63 is: 1,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.05 : 2,199.53 = 686.63 : x
  2. Step 2: Convert to fraction form
    1,467.05/2,199.53 = 686.63/x
  3. Step 3: Cross multiply
    1,467.05x = 2,199.53 × 686.63
  4. Step 4: Simplify right side
    1,467.05x = 1,510,262.45
  5. Step 5: Solve for x
    x = 1,510,262.45/1,467.05
  6. Step 6: Final answer
    x = 1,029.45

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