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Finding the Fourth Proportional to 711.72, 1,067.73 and 403.72

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Solution

The fourth proportional to 711.72, 1,067.73 and 403.72 is: 605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.72 : 1,067.73 = 403.72 : x
  2. Step 2: Convert to fraction form
    711.72/1,067.73 = 403.72/x
  3. Step 3: Cross multiply
    711.72x = 1,067.73 × 403.72
  4. Step 4: Simplify right side
    711.72x = 431,061.94
  5. Step 5: Solve for x
    x = 431,061.94/711.72
  6. Step 6: Final answer
    x = 605.66

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