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Finding the Fourth Proportional to 1,188.05, 1,790.18 and 976.37

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Solution

The fourth proportional to 1,188.05, 1,790.18 and 976.37 is: 1,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.05 : 1,790.18 = 976.37 : x
  2. Step 2: Convert to fraction form
    1,188.05/1,790.18 = 976.37/x
  3. Step 3: Cross multiply
    1,188.05x = 1,790.18 × 976.37
  4. Step 4: Simplify right side
    1,188.05x = 1,747,867.88
  5. Step 5: Solve for x
    x = 1,747,867.88/1,188.05
  6. Step 6: Final answer
    x = 1,471.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.