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Finding the Fourth Proportional to 735.84, 1,102.80 and 543

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Solution

The fourth proportional to 735.84, 1,102.80 and 543 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.84 : 1,102.80 = 543 : x
  2. Step 2: Convert to fraction form
    735.84/1,102.80 = 543/x
  3. Step 3: Cross multiply
    735.84x = 1,102.80 × 543
  4. Step 4: Simplify right side
    735.84x = 598,820.40
  5. Step 5: Solve for x
    x = 598,820.40/735.84
  6. Step 6: Final answer
    x = 813.79

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