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Finding the Fourth Proportional to 1,140.42, 1,711.25 and 1,057.80

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Solution

The fourth proportional to 1,140.42, 1,711.25 and 1,057.80 is: 1,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.42 : 1,711.25 = 1,057.80 : x
  2. Step 2: Convert to fraction form
    1,140.42/1,711.25 = 1,057.80/x
  3. Step 3: Cross multiply
    1,140.42x = 1,711.25 × 1,057.80
  4. Step 4: Simplify right side
    1,140.42x = 1,810,154.96
  5. Step 5: Solve for x
    x = 1,810,154.96/1,140.42
  6. Step 6: Final answer
    x = 1,587.27

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