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Finding the Fourth Proportional to 1,057.22, 1,585.82 and 1,031.08

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Solution

The fourth proportional to 1,057.22, 1,585.82 and 1,031.08 is: 1,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.22 : 1,585.82 = 1,031.08 : x
  2. Step 2: Convert to fraction form
    1,057.22/1,585.82 = 1,031.08/x
  3. Step 3: Cross multiply
    1,057.22x = 1,585.82 × 1,031.08
  4. Step 4: Simplify right side
    1,057.22x = 1,635,094.20
  5. Step 5: Solve for x
    x = 1,635,094.20/1,057.22
  6. Step 6: Final answer
    x = 1,546.60

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