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Finding the Fourth Proportional to 905.54, 1,358.33 and 769.54

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Solution

The fourth proportional to 905.54, 1,358.33 and 769.54 is: 1,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.54 : 1,358.33 = 769.54 : x
  2. Step 2: Convert to fraction form
    905.54/1,358.33 = 769.54/x
  3. Step 3: Cross multiply
    905.54x = 1,358.33 × 769.54
  4. Step 4: Simplify right side
    905.54x = 1,045,289.27
  5. Step 5: Solve for x
    x = 1,045,289.27/905.54
  6. Step 6: Final answer
    x = 1,154.33

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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.