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Finding the Fourth Proportional to 711.07, 1,067.07 and 494.26

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Solution

The fourth proportional to 711.07, 1,067.07 and 494.26 is: 741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.07 : 1,067.07 = 494.26 : x
  2. Step 2: Convert to fraction form
    711.07/1,067.07 = 494.26/x
  3. Step 3: Cross multiply
    711.07x = 1,067.07 × 494.26
  4. Step 4: Simplify right side
    711.07x = 527,410.02
  5. Step 5: Solve for x
    x = 527,410.02/711.07
  6. Step 6: Final answer
    x = 741.71

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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.