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Finding the Fourth Proportional to 911.26, 1,366.11 and 417.50

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Solution

The fourth proportional to 911.26, 1,366.11 and 417.50 is: 625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.26 : 1,366.11 = 417.50 : x
  2. Step 2: Convert to fraction form
    911.26/1,366.11 = 417.50/x
  3. Step 3: Cross multiply
    911.26x = 1,366.11 × 417.50
  4. Step 4: Simplify right side
    911.26x = 570,349.22
  5. Step 5: Solve for x
    x = 570,349.22/911.26
  6. Step 6: Final answer
    x = 625.89

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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.