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Finding the Fourth Proportional to 872.55, 1,309.10 and 324.99

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Solution

The fourth proportional to 872.55, 1,309.10 and 324.99 is: 487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.55 : 1,309.10 = 324.99 : x
  2. Step 2: Convert to fraction form
    872.55/1,309.10 = 324.99/x
  3. Step 3: Cross multiply
    872.55x = 1,309.10 × 324.99
  4. Step 4: Simplify right side
    872.55x = 425,442.78
  5. Step 5: Solve for x
    x = 425,442.78/872.55
  6. Step 6: Final answer
    x = 487.59

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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.