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Finding the Fourth Proportional to 1,390.31, 2,084.75 and 465.53

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Solution

The fourth proportional to 1,390.31, 2,084.75 and 465.53 is: 698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.31 : 2,084.75 = 465.53 : x
  2. Step 2: Convert to fraction form
    1,390.31/2,084.75 = 465.53/x
  3. Step 3: Cross multiply
    1,390.31x = 2,084.75 × 465.53
  4. Step 4: Simplify right side
    1,390.31x = 970,513.67
  5. Step 5: Solve for x
    x = 970,513.67/1,390.31
  6. Step 6: Final answer
    x = 698.06

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