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Finding the Fourth Proportional to 780.59, 1,169.72 and 317.80

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Solution

The fourth proportional to 780.59, 1,169.72 and 317.80 is: 476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.59 : 1,169.72 = 317.80 : x
  2. Step 2: Convert to fraction form
    780.59/1,169.72 = 317.80/x
  3. Step 3: Cross multiply
    780.59x = 1,169.72 × 317.80
  4. Step 4: Simplify right side
    780.59x = 371,733.69
  5. Step 5: Solve for x
    x = 371,733.69/780.59
  6. Step 6: Final answer
    x = 476.22

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