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Finding the Fourth Proportional to 1,376.76, 2,065.35 and 760.74

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Solution

The fourth proportional to 1,376.76, 2,065.35 and 760.74 is: 1,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.76 : 2,065.35 = 760.74 : x
  2. Step 2: Convert to fraction form
    1,376.76/2,065.35 = 760.74/x
  3. Step 3: Cross multiply
    1,376.76x = 2,065.35 × 760.74
  4. Step 4: Simplify right side
    1,376.76x = 1,571,194.36
  5. Step 5: Solve for x
    x = 1,571,194.36/1,376.76
  6. Step 6: Final answer
    x = 1,141.23

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