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Finding the Fourth Proportional to 891.25, 1,338.69 and 685.10

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Solution

The fourth proportional to 891.25, 1,338.69 and 685.10 is: 1,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.25 : 1,338.69 = 685.10 : x
  2. Step 2: Convert to fraction form
    891.25/1,338.69 = 685.10/x
  3. Step 3: Cross multiply
    891.25x = 1,338.69 × 685.10
  4. Step 4: Simplify right side
    891.25x = 917,136.52
  5. Step 5: Solve for x
    x = 917,136.52/891.25
  6. Step 6: Final answer
    x = 1,029.05

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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.