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Finding the Fourth Proportional to 712.52, 982.84 and 629.36

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Solution

The fourth proportional to 712.52, 982.84 and 629.36 is: 868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.52 : 982.84 = 629.36 : x
  2. Step 2: Convert to fraction form
    712.52/982.84 = 629.36/x
  3. Step 3: Cross multiply
    712.52x = 982.84 × 629.36
  4. Step 4: Simplify right side
    712.52x = 618,560.18
  5. Step 5: Solve for x
    x = 618,560.18/712.52
  6. Step 6: Final answer
    x = 868.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.