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Finding the Fourth Proportional to 1,305.77, 1,957.86 and 514.18

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Solution

The fourth proportional to 1,305.77, 1,957.86 and 514.18 is: 770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.77 : 1,957.86 = 514.18 : x
  2. Step 2: Convert to fraction form
    1,305.77/1,957.86 = 514.18/x
  3. Step 3: Cross multiply
    1,305.77x = 1,957.86 × 514.18
  4. Step 4: Simplify right side
    1,305.77x = 1,006,692.45
  5. Step 5: Solve for x
    x = 1,006,692.45/1,305.77
  6. Step 6: Final answer
    x = 770.96

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