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Finding the Fourth Proportional to 714.56, 986.56 and 548.46

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Solution

The fourth proportional to 714.56, 986.56 and 548.46 is: 757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 986.56 = 548.46 : x
  2. Step 2: Convert to fraction form
    714.56/986.56 = 548.46/x
  3. Step 3: Cross multiply
    714.56x = 986.56 × 548.46
  4. Step 4: Simplify right side
    714.56x = 541,087.33
  5. Step 5: Solve for x
    x = 541,087.33/714.56
  6. Step 6: Final answer
    x = 757.24

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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.