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Finding the Fourth Proportional to 683.94, 941.58 and 591.87

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Solution

The fourth proportional to 683.94, 941.58 and 591.87 is: 814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.94 : 941.58 = 591.87 : x
  2. Step 2: Convert to fraction form
    683.94/941.58 = 591.87/x
  3. Step 3: Cross multiply
    683.94x = 941.58 × 591.87
  4. Step 4: Simplify right side
    683.94x = 557,292.95
  5. Step 5: Solve for x
    x = 557,292.95/683.94
  6. Step 6: Final answer
    x = 814.83

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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.