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Finding the Fourth Proportional to 683.04, 1,023.86 and 477.55

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Solution

The fourth proportional to 683.04, 1,023.86 and 477.55 is: 715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.04 : 1,023.86 = 477.55 : x
  2. Step 2: Convert to fraction form
    683.04/1,023.86 = 477.55/x
  3. Step 3: Cross multiply
    683.04x = 1,023.86 × 477.55
  4. Step 4: Simplify right side
    683.04x = 488,944.34
  5. Step 5: Solve for x
    x = 488,944.34/683.04
  6. Step 6: Final answer
    x = 715.84

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