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Finding the Fourth Proportional to 1,162.43, 1,743.48 and 459.62

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Solution

The fourth proportional to 1,162.43, 1,743.48 and 459.62 is: 689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.43 : 1,743.48 = 459.62 : x
  2. Step 2: Convert to fraction form
    1,162.43/1,743.48 = 459.62/x
  3. Step 3: Cross multiply
    1,162.43x = 1,743.48 × 459.62
  4. Step 4: Simplify right side
    1,162.43x = 801,342.64
  5. Step 5: Solve for x
    x = 801,342.64/1,162.43
  6. Step 6: Final answer
    x = 689.37

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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.