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Finding the Fourth Proportional to 712.27, 1,067.74 and 653.88

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Solution

The fourth proportional to 712.27, 1,067.74 and 653.88 is: 980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.27 : 1,067.74 = 653.88 : x
  2. Step 2: Convert to fraction form
    712.27/1,067.74 = 653.88/x
  3. Step 3: Cross multiply
    712.27x = 1,067.74 × 653.88
  4. Step 4: Simplify right side
    712.27x = 698,173.83
  5. Step 5: Solve for x
    x = 698,173.83/712.27
  6. Step 6: Final answer
    x = 980.21

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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.