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Finding the Fourth Proportional to 1,389.76, 2,084.67 and 465.14

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Solution

The fourth proportional to 1,389.76, 2,084.67 and 465.14 is: 697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.76 : 2,084.67 = 465.14 : x
  2. Step 2: Convert to fraction form
    1,389.76/2,084.67 = 465.14/x
  3. Step 3: Cross multiply
    1,389.76x = 2,084.67 × 465.14
  4. Step 4: Simplify right side
    1,389.76x = 969,670.36
  5. Step 5: Solve for x
    x = 969,670.36/1,389.76
  6. Step 6: Final answer
    x = 697.73

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