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Finding the Fourth Proportional to 1,388.76, 2,082.94 and 522.88

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Solution

The fourth proportional to 1,388.76, 2,082.94 and 522.88 is: 784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.76 : 2,082.94 = 522.88 : x
  2. Step 2: Convert to fraction form
    1,388.76/2,082.94 = 522.88/x
  3. Step 3: Cross multiply
    1,388.76x = 2,082.94 × 522.88
  4. Step 4: Simplify right side
    1,388.76x = 1,089,127.67
  5. Step 5: Solve for x
    x = 1,089,127.67/1,388.76
  6. Step 6: Final answer
    x = 784.24

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