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Finding the Fourth Proportional to 1,408.26, 1,943.04 and 910.74

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Solution

The fourth proportional to 1,408.26, 1,943.04 and 910.74 is: 1,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.26 : 1,943.04 = 910.74 : x
  2. Step 2: Convert to fraction form
    1,408.26/1,943.04 = 910.74/x
  3. Step 3: Cross multiply
    1,408.26x = 1,943.04 × 910.74
  4. Step 4: Simplify right side
    1,408.26x = 1,769,604.25
  5. Step 5: Solve for x
    x = 1,769,604.25/1,408.26
  6. Step 6: Final answer
    x = 1,256.59

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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.