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Finding the Fourth Proportional to 1,091.69, 1,636.15 and 475.23

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Solution

The fourth proportional to 1,091.69, 1,636.15 and 475.23 is: 712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.69 : 1,636.15 = 475.23 : x
  2. Step 2: Convert to fraction form
    1,091.69/1,636.15 = 475.23/x
  3. Step 3: Cross multiply
    1,091.69x = 1,636.15 × 475.23
  4. Step 4: Simplify right side
    1,091.69x = 777,553.40
  5. Step 5: Solve for x
    x = 777,553.40/1,091.69
  6. Step 6: Final answer
    x = 712.24

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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.