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Finding the Fourth Proportional to 1,138.59, 1,570.83 and 696.33

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Solution

The fourth proportional to 1,138.59, 1,570.83 and 696.33 is: 960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.59 : 1,570.83 = 696.33 : x
  2. Step 2: Convert to fraction form
    1,138.59/1,570.83 = 696.33/x
  3. Step 3: Cross multiply
    1,138.59x = 1,570.83 × 696.33
  4. Step 4: Simplify right side
    1,138.59x = 1,093,816.05
  5. Step 5: Solve for x
    x = 1,093,816.05/1,138.59
  6. Step 6: Final answer
    x = 960.68

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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.