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Finding the Fourth Proportional to 869.22, 1,304.64 and 580.86

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Solution

The fourth proportional to 869.22, 1,304.64 and 580.86 is: 871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.22 : 1,304.64 = 580.86 : x
  2. Step 2: Convert to fraction form
    869.22/1,304.64 = 580.86/x
  3. Step 3: Cross multiply
    869.22x = 1,304.64 × 580.86
  4. Step 4: Simplify right side
    869.22x = 757,813.19
  5. Step 5: Solve for x
    x = 757,813.19/869.22
  6. Step 6: Final answer
    x = 871.83

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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.