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Finding the Fourth Proportional to 1,047.74, 1,570.69 and 585.63

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Solution

The fourth proportional to 1,047.74, 1,570.69 and 585.63 is: 877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.74 : 1,570.69 = 585.63 : x
  2. Step 2: Convert to fraction form
    1,047.74/1,570.69 = 585.63/x
  3. Step 3: Cross multiply
    1,047.74x = 1,570.69 × 585.63
  4. Step 4: Simplify right side
    1,047.74x = 919,843.92
  5. Step 5: Solve for x
    x = 919,843.92/1,047.74
  6. Step 6: Final answer
    x = 877.94

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