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Finding the Fourth Proportional to 785.04, 1,176.04 and 419.33

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Solution

The fourth proportional to 785.04, 1,176.04 and 419.33 is: 628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.04 : 1,176.04 = 419.33 : x
  2. Step 2: Convert to fraction form
    785.04/1,176.04 = 419.33/x
  3. Step 3: Cross multiply
    785.04x = 1,176.04 × 419.33
  4. Step 4: Simplify right side
    785.04x = 493,146.88
  5. Step 5: Solve for x
    x = 493,146.88/785.04
  6. Step 6: Final answer
    x = 628.18

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