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Finding the Fourth Proportional to 683.65, 1,023.45 and 452.80

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Solution

The fourth proportional to 683.65, 1,023.45 and 452.80 is: 677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 1,023.45 = 452.80 : x
  2. Step 2: Convert to fraction form
    683.65/1,023.45 = 452.80/x
  3. Step 3: Cross multiply
    683.65x = 1,023.45 × 452.80
  4. Step 4: Simplify right side
    683.65x = 463,418.16
  5. Step 5: Solve for x
    x = 463,418.16/683.65
  6. Step 6: Final answer
    x = 677.86

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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.