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Finding the Fourth Proportional to 1,283.02, 1,923.75 and 405.27

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Solution

The fourth proportional to 1,283.02, 1,923.75 and 405.27 is: 607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.02 : 1,923.75 = 405.27 : x
  2. Step 2: Convert to fraction form
    1,283.02/1,923.75 = 405.27/x
  3. Step 3: Cross multiply
    1,283.02x = 1,923.75 × 405.27
  4. Step 4: Simplify right side
    1,283.02x = 779,638.16
  5. Step 5: Solve for x
    x = 779,638.16/1,283.02
  6. Step 6: Final answer
    x = 607.66

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