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Finding the Fourth Proportional to 711.70, 1,067.56 and 680.10

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Solution

The fourth proportional to 711.70, 1,067.56 and 680.10 is: 1,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.70 : 1,067.56 = 680.10 : x
  2. Step 2: Convert to fraction form
    711.70/1,067.56 = 680.10/x
  3. Step 3: Cross multiply
    711.70x = 1,067.56 × 680.10
  4. Step 4: Simplify right side
    711.70x = 726,047.56
  5. Step 5: Solve for x
    x = 726,047.56/711.70
  6. Step 6: Final answer
    x = 1,020.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.