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Finding the Fourth Proportional to 683, 940.44 and 584.52

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Solution

The fourth proportional to 683, 940.44 and 584.52 is: 804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683 : 940.44 = 584.52 : x
  2. Step 2: Convert to fraction form
    683/940.44 = 584.52/x
  3. Step 3: Cross multiply
    683x = 940.44 × 584.52
  4. Step 4: Simplify right side
    683x = 549,705.99
  5. Step 5: Solve for x
    x = 549,705.99/683
  6. Step 6: Final answer
    x = 804.84

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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.