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Finding the Fourth Proportional to 789.82, 1,184.26 and 584.38

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Solution

The fourth proportional to 789.82, 1,184.26 and 584.38 is: 876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.82 : 1,184.26 = 584.38 : x
  2. Step 2: Convert to fraction form
    789.82/1,184.26 = 584.38/x
  3. Step 3: Cross multiply
    789.82x = 1,184.26 × 584.38
  4. Step 4: Simplify right side
    789.82x = 692,057.86
  5. Step 5: Solve for x
    x = 692,057.86/789.82
  6. Step 6: Final answer
    x = 876.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.