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Finding the Fourth Proportional to 872.24, 1,203.62 and 499.23

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Solution

The fourth proportional to 872.24, 1,203.62 and 499.23 is: 688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.24 : 1,203.62 = 499.23 : x
  2. Step 2: Convert to fraction form
    872.24/1,203.62 = 499.23/x
  3. Step 3: Cross multiply
    872.24x = 1,203.62 × 499.23
  4. Step 4: Simplify right side
    872.24x = 600,880.72
  5. Step 5: Solve for x
    x = 600,880.72/872.24
  6. Step 6: Final answer
    x = 688.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.