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Finding the Fourth Proportional to 770.04, 1,153.71 and 405

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Solution

The fourth proportional to 770.04, 1,153.71 and 405 is: 606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.04 : 1,153.71 = 405 : x
  2. Step 2: Convert to fraction form
    770.04/1,153.71 = 405/x
  3. Step 3: Cross multiply
    770.04x = 1,153.71 × 405
  4. Step 4: Simplify right side
    770.04x = 467,252.55
  5. Step 5: Solve for x
    x = 467,252.55/770.04
  6. Step 6: Final answer
    x = 606.79

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