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Finding the Fourth Proportional to 872.56, 1,308.45 and 409.97

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Solution

The fourth proportional to 872.56, 1,308.45 and 409.97 is: 614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.56 : 1,308.45 = 409.97 : x
  2. Step 2: Convert to fraction form
    872.56/1,308.45 = 409.97/x
  3. Step 3: Cross multiply
    872.56x = 1,308.45 × 409.97
  4. Step 4: Simplify right side
    872.56x = 536,425.25
  5. Step 5: Solve for x
    x = 536,425.25/872.56
  6. Step 6: Final answer
    x = 614.77

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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.