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Finding the Fourth Proportional to 1,406.75, 2,109.92 and 584.91

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Solution

The fourth proportional to 1,406.75, 2,109.92 and 584.91 is: 877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.75 : 2,109.92 = 584.91 : x
  2. Step 2: Convert to fraction form
    1,406.75/2,109.92 = 584.91/x
  3. Step 3: Cross multiply
    1,406.75x = 2,109.92 × 584.91
  4. Step 4: Simplify right side
    1,406.75x = 1,234,110.38
  5. Step 5: Solve for x
    x = 1,234,110.38/1,406.75
  6. Step 6: Final answer
    x = 877.28

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