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Finding the Fourth Proportional to 1,047.42, 1,571.52 and 469.86

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Solution

The fourth proportional to 1,047.42, 1,571.52 and 469.86 is: 704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.42 : 1,571.52 = 469.86 : x
  2. Step 2: Convert to fraction form
    1,047.42/1,571.52 = 469.86/x
  3. Step 3: Cross multiply
    1,047.42x = 1,571.52 × 469.86
  4. Step 4: Simplify right side
    1,047.42x = 738,394.39
  5. Step 5: Solve for x
    x = 738,394.39/1,047.42
  6. Step 6: Final answer
    x = 704.96

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