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Finding the Fourth Proportional to 955.85, 1,318.83 and 582.80

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Solution

The fourth proportional to 955.85, 1,318.83 and 582.80 is: 804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.85 : 1,318.83 = 582.80 : x
  2. Step 2: Convert to fraction form
    955.85/1,318.83 = 582.80/x
  3. Step 3: Cross multiply
    955.85x = 1,318.83 × 582.80
  4. Step 4: Simplify right side
    955.85x = 768,608.62
  5. Step 5: Solve for x
    x = 768,608.62/955.85
  6. Step 6: Final answer
    x = 804.11

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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.