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Finding the Fourth Proportional to 1,047.24, 1,570.80 and 277.74

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Solution

The fourth proportional to 1,047.24, 1,570.80 and 277.74 is: 416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.24 : 1,570.80 = 277.74 : x
  2. Step 2: Convert to fraction form
    1,047.24/1,570.80 = 277.74/x
  3. Step 3: Cross multiply
    1,047.24x = 1,570.80 × 277.74
  4. Step 4: Simplify right side
    1,047.24x = 436,273.99
  5. Step 5: Solve for x
    x = 436,273.99/1,047.24
  6. Step 6: Final answer
    x = 416.59

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