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Finding the Fourth Proportional to 1,288.55, 1,929.07 and 1,165.44

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Solution

The fourth proportional to 1,288.55, 1,929.07 and 1,165.44 is: 1,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.55 : 1,929.07 = 1,165.44 : x
  2. Step 2: Convert to fraction form
    1,288.55/1,929.07 = 1,165.44/x
  3. Step 3: Cross multiply
    1,288.55x = 1,929.07 × 1,165.44
  4. Step 4: Simplify right side
    1,288.55x = 2,248,216.42
  5. Step 5: Solve for x
    x = 2,248,216.42/1,288.55
  6. Step 6: Final answer
    x = 1,744.76

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