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Finding the Fourth Proportional to 1,170.53, 1,755.80 and 477.58

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Solution

The fourth proportional to 1,170.53, 1,755.80 and 477.58 is: 716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.53 : 1,755.80 = 477.58 : x
  2. Step 2: Convert to fraction form
    1,170.53/1,755.80 = 477.58/x
  3. Step 3: Cross multiply
    1,170.53x = 1,755.80 × 477.58
  4. Step 4: Simplify right side
    1,170.53x = 838,529.38
  5. Step 5: Solve for x
    x = 838,529.38/1,170.53
  6. Step 6: Final answer
    x = 716.37

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