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Finding the Fourth Proportional to 751.90, 1,129.20 and 727.60

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Solution

The fourth proportional to 751.90, 1,129.20 and 727.60 is: 1,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.90 : 1,129.20 = 727.60 : x
  2. Step 2: Convert to fraction form
    751.90/1,129.20 = 727.60/x
  3. Step 3: Cross multiply
    751.90x = 1,129.20 × 727.60
  4. Step 4: Simplify right side
    751.90x = 821,605.92
  5. Step 5: Solve for x
    x = 821,605.92/751.90
  6. Step 6: Final answer
    x = 1,092.71

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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.