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Finding the Fourth Proportional to 683.52, 941.94 and 610.08

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Solution

The fourth proportional to 683.52, 941.94 and 610.08 is: 840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 941.94 = 610.08 : x
  2. Step 2: Convert to fraction form
    683.52/941.94 = 610.08/x
  3. Step 3: Cross multiply
    683.52x = 941.94 × 610.08
  4. Step 4: Simplify right side
    683.52x = 574,658.76
  5. Step 5: Solve for x
    x = 574,658.76/683.52
  6. Step 6: Final answer
    x = 840.73

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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.