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Finding the Fourth Proportional to 1,380.23, 1,904.97 and 849.47

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Solution

The fourth proportional to 1,380.23, 1,904.97 and 849.47 is: 1,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.23 : 1,904.97 = 849.47 : x
  2. Step 2: Convert to fraction form
    1,380.23/1,904.97 = 849.47/x
  3. Step 3: Cross multiply
    1,380.23x = 1,904.97 × 849.47
  4. Step 4: Simplify right side
    1,380.23x = 1,618,205.34
  5. Step 5: Solve for x
    x = 1,618,205.34/1,380.23
  6. Step 6: Final answer
    x = 1,172.42

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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.