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Finding the Fourth Proportional to 716.84, 1,074.75 and 326.65

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Solution

The fourth proportional to 716.84, 1,074.75 and 326.65 is: 489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.84 : 1,074.75 = 326.65 : x
  2. Step 2: Convert to fraction form
    716.84/1,074.75 = 326.65/x
  3. Step 3: Cross multiply
    716.84x = 1,074.75 × 326.65
  4. Step 4: Simplify right side
    716.84x = 351,067.09
  5. Step 5: Solve for x
    x = 351,067.09/716.84
  6. Step 6: Final answer
    x = 489.74

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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.