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Finding the Fourth Proportional to 1,420.23, 2,128.32 and 725.93

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Solution

The fourth proportional to 1,420.23, 2,128.32 and 725.93 is: 1,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.23 : 2,128.32 = 725.93 : x
  2. Step 2: Convert to fraction form
    1,420.23/2,128.32 = 725.93/x
  3. Step 3: Cross multiply
    1,420.23x = 2,128.32 × 725.93
  4. Step 4: Simplify right side
    1,420.23x = 1,545,000.70
  5. Step 5: Solve for x
    x = 1,545,000.70/1,420.23
  6. Step 6: Final answer
    x = 1,087.85

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