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Finding the Fourth Proportional to 1,409.33, 1,945.04 and 850.08

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Solution

The fourth proportional to 1,409.33, 1,945.04 and 850.08 is: 1,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.33 : 1,945.04 = 850.08 : x
  2. Step 2: Convert to fraction form
    1,409.33/1,945.04 = 850.08/x
  3. Step 3: Cross multiply
    1,409.33x = 1,945.04 × 850.08
  4. Step 4: Simplify right side
    1,409.33x = 1,653,439.60
  5. Step 5: Solve for x
    x = 1,653,439.60/1,409.33
  6. Step 6: Final answer
    x = 1,173.21

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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.