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Finding the Fourth Proportional to 913.97, 1,370.53 and 451.22

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Solution

The fourth proportional to 913.97, 1,370.53 and 451.22 is: 676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.97 : 1,370.53 = 451.22 : x
  2. Step 2: Convert to fraction form
    913.97/1,370.53 = 451.22/x
  3. Step 3: Cross multiply
    913.97x = 1,370.53 × 451.22
  4. Step 4: Simplify right side
    913.97x = 618,408.29
  5. Step 5: Solve for x
    x = 618,408.29/913.97
  6. Step 6: Final answer
    x = 676.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.