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Finding the Fourth Proportional to 1,157.37, 1,736.05 and 786.25

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Solution

The fourth proportional to 1,157.37, 1,736.05 and 786.25 is: 1,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.37 : 1,736.05 = 786.25 : x
  2. Step 2: Convert to fraction form
    1,157.37/1,736.05 = 786.25/x
  3. Step 3: Cross multiply
    1,157.37x = 1,736.05 × 786.25
  4. Step 4: Simplify right side
    1,157.37x = 1,364,969.31
  5. Step 5: Solve for x
    x = 1,364,969.31/1,157.37
  6. Step 6: Final answer
    x = 1,179.37

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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.