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Finding the Fourth Proportional to 1,087.48, 1,627.32 and 941.73

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Solution

The fourth proportional to 1,087.48, 1,627.32 and 941.73 is: 1,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.48 : 1,627.32 = 941.73 : x
  2. Step 2: Convert to fraction form
    1,087.48/1,627.32 = 941.73/x
  3. Step 3: Cross multiply
    1,087.48x = 1,627.32 × 941.73
  4. Step 4: Simplify right side
    1,087.48x = 1,532,499.28
  5. Step 5: Solve for x
    x = 1,532,499.28/1,087.48
  6. Step 6: Final answer
    x = 1,409.23

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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.