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Finding the Fourth Proportional to 823.55, 1,135.76 and 683.44

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Solution

The fourth proportional to 823.55, 1,135.76 and 683.44 is: 942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.55 : 1,135.76 = 683.44 : x
  2. Step 2: Convert to fraction form
    823.55/1,135.76 = 683.44/x
  3. Step 3: Cross multiply
    823.55x = 1,135.76 × 683.44
  4. Step 4: Simplify right side
    823.55x = 776,223.81
  5. Step 5: Solve for x
    x = 776,223.81/823.55
  6. Step 6: Final answer
    x = 942.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.