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Finding the Fourth Proportional to 913.43, 1,260.54 and 843.67

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Solution

The fourth proportional to 913.43, 1,260.54 and 843.67 is: 1,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.43 : 1,260.54 = 843.67 : x
  2. Step 2: Convert to fraction form
    913.43/1,260.54 = 843.67/x
  3. Step 3: Cross multiply
    913.43x = 1,260.54 × 843.67
  4. Step 4: Simplify right side
    913.43x = 1,063,472.69
  5. Step 5: Solve for x
    x = 1,063,472.69/913.43
  6. Step 6: Final answer
    x = 1,164.27

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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.