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Finding the Fourth Proportional to 874.53, 1,311.26 and 581.72

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Solution

The fourth proportional to 874.53, 1,311.26 and 581.72 is: 872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.53 : 1,311.26 = 581.72 : x
  2. Step 2: Convert to fraction form
    874.53/1,311.26 = 581.72/x
  3. Step 3: Cross multiply
    874.53x = 1,311.26 × 581.72
  4. Step 4: Simplify right side
    874.53x = 762,776.70
  5. Step 5: Solve for x
    x = 762,776.70/874.53
  6. Step 6: Final answer
    x = 872.21

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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.