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Finding the Fourth Proportional to 712.99, 1,074.35 and 634.42

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Solution

The fourth proportional to 712.99, 1,074.35 and 634.42 is: 955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.99 : 1,074.35 = 634.42 : x
  2. Step 2: Convert to fraction form
    712.99/1,074.35 = 634.42/x
  3. Step 3: Cross multiply
    712.99x = 1,074.35 × 634.42
  4. Step 4: Simplify right side
    712.99x = 681,589.13
  5. Step 5: Solve for x
    x = 681,589.13/712.99
  6. Step 6: Final answer
    x = 955.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.