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Finding the Fourth Proportional to 788.38, 1,183.10 and 275.38

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Solution

The fourth proportional to 788.38, 1,183.10 and 275.38 is: 413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.38 : 1,183.10 = 275.38 : x
  2. Step 2: Convert to fraction form
    788.38/1,183.10 = 275.38/x
  3. Step 3: Cross multiply
    788.38x = 1,183.10 × 275.38
  4. Step 4: Simplify right side
    788.38x = 325,802.08
  5. Step 5: Solve for x
    x = 325,802.08/788.38
  6. Step 6: Final answer
    x = 413.26

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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.