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Finding the Fourth Proportional to 866.40, 1,195.26 and 586.86

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Solution

The fourth proportional to 866.40, 1,195.26 and 586.86 is: 809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.40 : 1,195.26 = 586.86 : x
  2. Step 2: Convert to fraction form
    866.40/1,195.26 = 586.86/x
  3. Step 3: Cross multiply
    866.40x = 1,195.26 × 586.86
  4. Step 4: Simplify right side
    866.40x = 701,450.28
  5. Step 5: Solve for x
    x = 701,450.28/866.40
  6. Step 6: Final answer
    x = 809.61

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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.