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Finding the Fourth Proportional to 1,231.59, 1,696.20 and 1,065.75

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Solution

The fourth proportional to 1,231.59, 1,696.20 and 1,065.75 is: 1,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.59 : 1,696.20 = 1,065.75 : x
  2. Step 2: Convert to fraction form
    1,231.59/1,696.20 = 1,065.75/x
  3. Step 3: Cross multiply
    1,231.59x = 1,696.20 × 1,065.75
  4. Step 4: Simplify right side
    1,231.59x = 1,807,725.15
  5. Step 5: Solve for x
    x = 1,807,725.15/1,231.59
  6. Step 6: Final answer
    x = 1,467.80

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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.