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Finding the Fourth Proportional to 911.80, 1,366.26 and 586.90

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Solution

The fourth proportional to 911.80, 1,366.26 and 586.90 is: 879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.80 : 1,366.26 = 586.90 : x
  2. Step 2: Convert to fraction form
    911.80/1,366.26 = 586.90/x
  3. Step 3: Cross multiply
    911.80x = 1,366.26 × 586.90
  4. Step 4: Simplify right side
    911.80x = 801,857.99
  5. Step 5: Solve for x
    x = 801,857.99/911.80
  6. Step 6: Final answer
    x = 879.42

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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.