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Finding the Fourth Proportional to 1,586.03, 2,378.52 and 763.79

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Solution

The fourth proportional to 1,586.03, 2,378.52 and 763.79 is: 1,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.03 : 2,378.52 = 763.79 : x
  2. Step 2: Convert to fraction form
    1,586.03/2,378.52 = 763.79/x
  3. Step 3: Cross multiply
    1,586.03x = 2,378.52 × 763.79
  4. Step 4: Simplify right side
    1,586.03x = 1,816,677.90
  5. Step 5: Solve for x
    x = 1,816,677.90/1,586.03
  6. Step 6: Final answer
    x = 1,145.43

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