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Finding the Fourth Proportional to 686.80, 1,027.77 and 541

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Solution

The fourth proportional to 686.80, 1,027.77 and 541 is: 809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.80 : 1,027.77 = 541 : x
  2. Step 2: Convert to fraction form
    686.80/1,027.77 = 541/x
  3. Step 3: Cross multiply
    686.80x = 1,027.77 × 541
  4. Step 4: Simplify right side
    686.80x = 556,023.57
  5. Step 5: Solve for x
    x = 556,023.57/686.80
  6. Step 6: Final answer
    x = 809.59

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