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Finding the Fourth Proportional to 1,125.55, 1,686.30 and 1,057.78

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Solution

The fourth proportional to 1,125.55, 1,686.30 and 1,057.78 is: 1,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.55 : 1,686.30 = 1,057.78 : x
  2. Step 2: Convert to fraction form
    1,125.55/1,686.30 = 1,057.78/x
  3. Step 3: Cross multiply
    1,125.55x = 1,686.30 × 1,057.78
  4. Step 4: Simplify right side
    1,125.55x = 1,783,734.41
  5. Step 5: Solve for x
    x = 1,783,734.41/1,125.55
  6. Step 6: Final answer
    x = 1,584.77

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