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Finding the Fourth Proportional to 872.92, 1,309.10 and 385.96

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Solution

The fourth proportional to 872.92, 1,309.10 and 385.96 is: 578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.92 : 1,309.10 = 385.96 : x
  2. Step 2: Convert to fraction form
    872.92/1,309.10 = 385.96/x
  3. Step 3: Cross multiply
    872.92x = 1,309.10 × 385.96
  4. Step 4: Simplify right side
    872.92x = 505,260.24
  5. Step 5: Solve for x
    x = 505,260.24/872.92
  6. Step 6: Final answer
    x = 578.82

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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.