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Finding the Fourth Proportional to 803.88, 1,109.34 and 449.82

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Solution

The fourth proportional to 803.88, 1,109.34 and 449.82 is: 620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.88 : 1,109.34 = 449.82 : x
  2. Step 2: Convert to fraction form
    803.88/1,109.34 = 449.82/x
  3. Step 3: Cross multiply
    803.88x = 1,109.34 × 449.82
  4. Step 4: Simplify right side
    803.88x = 499,003.32
  5. Step 5: Solve for x
    x = 499,003.32/803.88
  6. Step 6: Final answer
    x = 620.74

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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.