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Finding the Fourth Proportional to 872.90, 1,310.24 and 461.96

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Solution

The fourth proportional to 872.90, 1,310.24 and 461.96 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.90 : 1,310.24 = 461.96 : x
  2. Step 2: Convert to fraction form
    872.90/1,310.24 = 461.96/x
  3. Step 3: Cross multiply
    872.90x = 1,310.24 × 461.96
  4. Step 4: Simplify right side
    872.90x = 605,278.47
  5. Step 5: Solve for x
    x = 605,278.47/872.90
  6. Step 6: Final answer
    x = 693.41

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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.