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Finding the Fourth Proportional to 713.80, 985.80 and 548.20

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Solution

The fourth proportional to 713.80, 985.80 and 548.20 is: 757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.80 : 985.80 = 548.20 : x
  2. Step 2: Convert to fraction form
    713.80/985.80 = 548.20/x
  3. Step 3: Cross multiply
    713.80x = 985.80 × 548.20
  4. Step 4: Simplify right side
    713.80x = 540,415.56
  5. Step 5: Solve for x
    x = 540,415.56/713.80
  6. Step 6: Final answer
    x = 757.10

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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.