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Finding the Fourth Proportional to 1,408.86, 1,944.29 and 849.49

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Solution

The fourth proportional to 1,408.86, 1,944.29 and 849.49 is: 1,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.86 : 1,944.29 = 849.49 : x
  2. Step 2: Convert to fraction form
    1,408.86/1,944.29 = 849.49/x
  3. Step 3: Cross multiply
    1,408.86x = 1,944.29 × 849.49
  4. Step 4: Simplify right side
    1,408.86x = 1,651,652.18
  5. Step 5: Solve for x
    x = 1,651,652.18/1,408.86
  6. Step 6: Final answer
    x = 1,172.33

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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.