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Finding the Fourth Proportional to 872.26, 1,309.26 and 507.76

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Solution

The fourth proportional to 872.26, 1,309.26 and 507.76 is: 762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.26 : 1,309.26 = 507.76 : x
  2. Step 2: Convert to fraction form
    872.26/1,309.26 = 507.76/x
  3. Step 3: Cross multiply
    872.26x = 1,309.26 × 507.76
  4. Step 4: Simplify right side
    872.26x = 664,783.31
  5. Step 5: Solve for x
    x = 664,783.31/872.26
  6. Step 6: Final answer
    x = 762.14

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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.