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Finding the Fourth Proportional to 913.18, 1,370.37 and 682.33

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Solution

The fourth proportional to 913.18, 1,370.37 and 682.33 is: 1,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.18 : 1,370.37 = 682.33 : x
  2. Step 2: Convert to fraction form
    913.18/1,370.37 = 682.33/x
  3. Step 3: Cross multiply
    913.18x = 1,370.37 × 682.33
  4. Step 4: Simplify right side
    913.18x = 935,044.56
  5. Step 5: Solve for x
    x = 935,044.56/913.18
  6. Step 6: Final answer
    x = 1,023.94

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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.