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Finding the Fourth Proportional to 1,112.78, 1,670.20 and 565.35

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Solution

The fourth proportional to 1,112.78, 1,670.20 and 565.35 is: 848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.78 : 1,670.20 = 565.35 : x
  2. Step 2: Convert to fraction form
    1,112.78/1,670.20 = 565.35/x
  3. Step 3: Cross multiply
    1,112.78x = 1,670.20 × 565.35
  4. Step 4: Simplify right side
    1,112.78x = 944,247.57
  5. Step 5: Solve for x
    x = 944,247.57/1,112.78
  6. Step 6: Final answer
    x = 848.55

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