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Finding the Fourth Proportional to 1,632.43, 2,449.02 and 708.14

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Solution

The fourth proportional to 1,632.43, 2,449.02 and 708.14 is: 1,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.43 : 2,449.02 = 708.14 : x
  2. Step 2: Convert to fraction form
    1,632.43/2,449.02 = 708.14/x
  3. Step 3: Cross multiply
    1,632.43x = 2,449.02 × 708.14
  4. Step 4: Simplify right side
    1,632.43x = 1,734,249.02
  5. Step 5: Solve for x
    x = 1,734,249.02/1,632.43
  6. Step 6: Final answer
    x = 1,062.37

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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.