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Finding the Fourth Proportional to 1,092.48, 1,636.89 and 767.26

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Solution

The fourth proportional to 1,092.48, 1,636.89 and 767.26 is: 1,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.48 : 1,636.89 = 767.26 : x
  2. Step 2: Convert to fraction form
    1,092.48/1,636.89 = 767.26/x
  3. Step 3: Cross multiply
    1,092.48x = 1,636.89 × 767.26
  4. Step 4: Simplify right side
    1,092.48x = 1,255,920.22
  5. Step 5: Solve for x
    x = 1,255,920.22/1,092.48
  6. Step 6: Final answer
    x = 1,149.60

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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.