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Finding the Fourth Proportional to 891.91, 1,231.25 and 518.75

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Solution

The fourth proportional to 891.91, 1,231.25 and 518.75 is: 716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.91 : 1,231.25 = 518.75 : x
  2. Step 2: Convert to fraction form
    891.91/1,231.25 = 518.75/x
  3. Step 3: Cross multiply
    891.91x = 1,231.25 × 518.75
  4. Step 4: Simplify right side
    891.91x = 638,716.65
  5. Step 5: Solve for x
    x = 638,716.65/891.91
  6. Step 6: Final answer
    x = 716.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.