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Finding the Fourth Proportional to 683.93, 941.44 and 596.45

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Solution

The fourth proportional to 683.93, 941.44 and 596.45 is: 821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.93 : 941.44 = 596.45 : x
  2. Step 2: Convert to fraction form
    683.93/941.44 = 596.45/x
  3. Step 3: Cross multiply
    683.93x = 941.44 × 596.45
  4. Step 4: Simplify right side
    683.93x = 561,514.20
  5. Step 5: Solve for x
    x = 561,514.20/683.93
  6. Step 6: Final answer
    x = 821.02

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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.