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Finding the Fourth Proportional to 770.92, 1,064.34 and 584.42

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Solution

The fourth proportional to 770.92, 1,064.34 and 584.42 is: 806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.92 : 1,064.34 = 584.42 : x
  2. Step 2: Convert to fraction form
    770.92/1,064.34 = 584.42/x
  3. Step 3: Cross multiply
    770.92x = 1,064.34 × 584.42
  4. Step 4: Simplify right side
    770.92x = 622,016.26
  5. Step 5: Solve for x
    x = 622,016.26/770.92
  6. Step 6: Final answer
    x = 806.85

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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.