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Finding the Fourth Proportional to 683.19, 1,023.33 and 357.57

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Solution

The fourth proportional to 683.19, 1,023.33 and 357.57 is: 535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.19 : 1,023.33 = 357.57 : x
  2. Step 2: Convert to fraction form
    683.19/1,023.33 = 357.57/x
  3. Step 3: Cross multiply
    683.19x = 1,023.33 × 357.57
  4. Step 4: Simplify right side
    683.19x = 365,912.11
  5. Step 5: Solve for x
    x = 365,912.11/683.19
  6. Step 6: Final answer
    x = 535.59

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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.