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Finding the Fourth Proportional to 936.62, 1,405.23 and 449.71

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Solution

The fourth proportional to 936.62, 1,405.23 and 449.71 is: 674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.62 : 1,405.23 = 449.71 : x
  2. Step 2: Convert to fraction form
    936.62/1,405.23 = 449.71/x
  3. Step 3: Cross multiply
    936.62x = 1,405.23 × 449.71
  4. Step 4: Simplify right side
    936.62x = 631,938.96
  5. Step 5: Solve for x
    x = 631,938.96/936.62
  6. Step 6: Final answer
    x = 674.70

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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.