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Finding the Fourth Proportional to 611.75, 842.87 and 583.94

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Solution

The fourth proportional to 611.75, 842.87 and 583.94 is: 804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.75 : 842.87 = 583.94 : x
  2. Step 2: Convert to fraction form
    611.75/842.87 = 583.94/x
  3. Step 3: Cross multiply
    611.75x = 842.87 × 583.94
  4. Step 4: Simplify right side
    611.75x = 492,189.07
  5. Step 5: Solve for x
    x = 492,189.07/611.75
  6. Step 6: Final answer
    x = 804.56

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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.