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Finding the Fourth Proportional to 1,152.42, 1,729.26 and 1,069.80

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Solution

The fourth proportional to 1,152.42, 1,729.26 and 1,069.80 is: 1,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.42 : 1,729.26 = 1,069.80 : x
  2. Step 2: Convert to fraction form
    1,152.42/1,729.26 = 1,069.80/x
  3. Step 3: Cross multiply
    1,152.42x = 1,729.26 × 1,069.80
  4. Step 4: Simplify right side
    1,152.42x = 1,849,962.35
  5. Step 5: Solve for x
    x = 1,849,962.35/1,152.42
  6. Step 6: Final answer
    x = 1,605.28

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