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Finding the Fourth Proportional to 769.41, 1,156.14 and 404.46

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Solution

The fourth proportional to 769.41, 1,156.14 and 404.46 is: 607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.41 : 1,156.14 = 404.46 : x
  2. Step 2: Convert to fraction form
    769.41/1,156.14 = 404.46/x
  3. Step 3: Cross multiply
    769.41x = 1,156.14 × 404.46
  4. Step 4: Simplify right side
    769.41x = 467,612.38
  5. Step 5: Solve for x
    x = 467,612.38/769.41
  6. Step 6: Final answer
    x = 607.75

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