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Finding the Fourth Proportional to 786.25, 1,183.96 and 582.27

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Solution

The fourth proportional to 786.25, 1,183.96 and 582.27 is: 876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.25 : 1,183.96 = 582.27 : x
  2. Step 2: Convert to fraction form
    786.25/1,183.96 = 582.27/x
  3. Step 3: Cross multiply
    786.25x = 1,183.96 × 582.27
  4. Step 4: Simplify right side
    786.25x = 689,384.39
  5. Step 5: Solve for x
    x = 689,384.39/786.25
  6. Step 6: Final answer
    x = 876.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.