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Finding the Fourth Proportional to 872.74, 1,204.34 and 499.84

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Solution

The fourth proportional to 872.74, 1,204.34 and 499.84 is: 689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.74 : 1,204.34 = 499.84 : x
  2. Step 2: Convert to fraction form
    872.74/1,204.34 = 499.84/x
  3. Step 3: Cross multiply
    872.74x = 1,204.34 × 499.84
  4. Step 4: Simplify right side
    872.74x = 601,977.31
  5. Step 5: Solve for x
    x = 601,977.31/872.74
  6. Step 6: Final answer
    x = 689.76

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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.