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Finding the Fourth Proportional to 1,025.03, 1,414.51 and 941.36

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Solution

The fourth proportional to 1,025.03, 1,414.51 and 941.36 is: 1,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.03 : 1,414.51 = 941.36 : x
  2. Step 2: Convert to fraction form
    1,025.03/1,414.51 = 941.36/x
  3. Step 3: Cross multiply
    1,025.03x = 1,414.51 × 941.36
  4. Step 4: Simplify right side
    1,025.03x = 1,331,553.71
  5. Step 5: Solve for x
    x = 1,331,553.71/1,025.03
  6. Step 6: Final answer
    x = 1,299.04

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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.