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Finding the Fourth Proportional to 683.67, 1,024.62 and 596.78

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Solution

The fourth proportional to 683.67, 1,024.62 and 596.78 is: 894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.67 : 1,024.62 = 596.78 : x
  2. Step 2: Convert to fraction form
    683.67/1,024.62 = 596.78/x
  3. Step 3: Cross multiply
    683.67x = 1,024.62 × 596.78
  4. Step 4: Simplify right side
    683.67x = 611,474.97
  5. Step 5: Solve for x
    x = 611,474.97/683.67
  6. Step 6: Final answer
    x = 894.40

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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.