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Finding the Fourth Proportional to 1,634, 2,449.62 and 708.86

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Solution

The fourth proportional to 1,634, 2,449.62 and 708.86 is: 1,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634 : 2,449.62 = 708.86 : x
  2. Step 2: Convert to fraction form
    1,634/2,449.62 = 708.86/x
  3. Step 3: Cross multiply
    1,634x = 2,449.62 × 708.86
  4. Step 4: Simplify right side
    1,634x = 1,736,442.02
  5. Step 5: Solve for x
    x = 1,736,442.02/1,634
  6. Step 6: Final answer
    x = 1,062.69

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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.