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Finding the Fourth Proportional to 711.25, 1,065.69 and 451.54

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Solution

The fourth proportional to 711.25, 1,065.69 and 451.54 is: 676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.25 : 1,065.69 = 451.54 : x
  2. Step 2: Convert to fraction form
    711.25/1,065.69 = 451.54/x
  3. Step 3: Cross multiply
    711.25x = 1,065.69 × 451.54
  4. Step 4: Simplify right side
    711.25x = 481,201.66
  5. Step 5: Solve for x
    x = 481,201.66/711.25
  6. Step 6: Final answer
    x = 676.56

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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.