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Finding the Fourth Proportional to 874.32, 1,310.39 and 626.24

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Solution

The fourth proportional to 874.32, 1,310.39 and 626.24 is: 938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.32 : 1,310.39 = 626.24 : x
  2. Step 2: Convert to fraction form
    874.32/1,310.39 = 626.24/x
  3. Step 3: Cross multiply
    874.32x = 1,310.39 × 626.24
  4. Step 4: Simplify right side
    874.32x = 820,608.95
  5. Step 5: Solve for x
    x = 820,608.95/874.32
  6. Step 6: Final answer
    x = 938.57

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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.