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Finding the Fourth Proportional to 1,298.12, 1,945.90 and 719.76

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Solution

The fourth proportional to 1,298.12, 1,945.90 and 719.76 is: 1,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.12 : 1,945.90 = 719.76 : x
  2. Step 2: Convert to fraction form
    1,298.12/1,945.90 = 719.76/x
  3. Step 3: Cross multiply
    1,298.12x = 1,945.90 × 719.76
  4. Step 4: Simplify right side
    1,298.12x = 1,400,580.98
  5. Step 5: Solve for x
    x = 1,400,580.98/1,298.12
  6. Step 6: Final answer
    x = 1,078.93

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