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Finding the Fourth Proportional to 1,406.14, 1,940.03 and 908.94

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Solution

The fourth proportional to 1,406.14, 1,940.03 and 908.94 is: 1,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.14 : 1,940.03 = 908.94 : x
  2. Step 2: Convert to fraction form
    1,406.14/1,940.03 = 908.94/x
  3. Step 3: Cross multiply
    1,406.14x = 1,940.03 × 908.94
  4. Step 4: Simplify right side
    1,406.14x = 1,763,356.62
  5. Step 5: Solve for x
    x = 1,763,356.62/1,406.14
  6. Step 6: Final answer
    x = 1,254.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.