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Finding the Fourth Proportional to 872.43, 1,203.76 and 499.31

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Solution

The fourth proportional to 872.43, 1,203.76 and 499.31 is: 688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.43 : 1,203.76 = 499.31 : x
  2. Step 2: Convert to fraction form
    872.43/1,203.76 = 499.31/x
  3. Step 3: Cross multiply
    872.43x = 1,203.76 × 499.31
  4. Step 4: Simplify right side
    872.43x = 601,051.17
  5. Step 5: Solve for x
    x = 601,051.17/872.43
  6. Step 6: Final answer
    x = 688.94

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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.