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Finding the Fourth Proportional to 937.85, 1,405.49 and 449.96

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Solution

The fourth proportional to 937.85, 1,405.49 and 449.96 is: 674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.85 : 1,405.49 = 449.96 : x
  2. Step 2: Convert to fraction form
    937.85/1,405.49 = 449.96/x
  3. Step 3: Cross multiply
    937.85x = 1,405.49 × 449.96
  4. Step 4: Simplify right side
    937.85x = 632,405.00
  5. Step 5: Solve for x
    x = 632,405.00/937.85
  6. Step 6: Final answer
    x = 674.32

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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.