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Finding the Fourth Proportional to 911.76, 1,367.61 and 501.09

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Solution

The fourth proportional to 911.76, 1,367.61 and 501.09 is: 751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.76 : 1,367.61 = 501.09 : x
  2. Step 2: Convert to fraction form
    911.76/1,367.61 = 501.09/x
  3. Step 3: Cross multiply
    911.76x = 1,367.61 × 501.09
  4. Step 4: Simplify right side
    911.76x = 685,295.69
  5. Step 5: Solve for x
    x = 685,295.69/911.76
  6. Step 6: Final answer
    x = 751.62

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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.