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Finding the Fourth Proportional to 1,161.37, 1,597.94 and 1,003.50

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Solution

The fourth proportional to 1,161.37, 1,597.94 and 1,003.50 is: 1,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.37 : 1,597.94 = 1,003.50 : x
  2. Step 2: Convert to fraction form
    1,161.37/1,597.94 = 1,003.50/x
  3. Step 3: Cross multiply
    1,161.37x = 1,597.94 × 1,003.50
  4. Step 4: Simplify right side
    1,161.37x = 1,603,531.54
  5. Step 5: Solve for x
    x = 1,603,531.54/1,161.37
  6. Step 6: Final answer
    x = 1,380.72

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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.