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Finding the Fourth Proportional to 1,632.69, 2,449.98 and 708.03

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Solution

The fourth proportional to 1,632.69, 2,449.98 and 708.03 is: 1,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.69 : 2,449.98 = 708.03 : x
  2. Step 2: Convert to fraction form
    1,632.69/2,449.98 = 708.03/x
  3. Step 3: Cross multiply
    1,632.69x = 2,449.98 × 708.03
  4. Step 4: Simplify right side
    1,632.69x = 1,734,659.34
  5. Step 5: Solve for x
    x = 1,734,659.34/1,632.69
  6. Step 6: Final answer
    x = 1,062.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.