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Finding the Fourth Proportional to 769.76, 1,155.06 and 307.80

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Solution

The fourth proportional to 769.76, 1,155.06 and 307.80 is: 461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.76 : 1,155.06 = 307.80 : x
  2. Step 2: Convert to fraction form
    769.76/1,155.06 = 307.80/x
  3. Step 3: Cross multiply
    769.76x = 1,155.06 × 307.80
  4. Step 4: Simplify right side
    769.76x = 355,527.47
  5. Step 5: Solve for x
    x = 355,527.47/769.76
  6. Step 6: Final answer
    x = 461.87

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