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Finding the Fourth Proportional to 711.94, 1,067.10 and 322.24

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Solution

The fourth proportional to 711.94, 1,067.10 and 322.24 is: 482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.94 : 1,067.10 = 322.24 : x
  2. Step 2: Convert to fraction form
    711.94/1,067.10 = 322.24/x
  3. Step 3: Cross multiply
    711.94x = 1,067.10 × 322.24
  4. Step 4: Simplify right side
    711.94x = 343,862.30
  5. Step 5: Solve for x
    x = 343,862.30/711.94
  6. Step 6: Final answer
    x = 482.99

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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.