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Finding the Fourth Proportional to 1,633.77, 2,449.98 and 659.61

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Solution

The fourth proportional to 1,633.77, 2,449.98 and 659.61 is: 989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.77 : 2,449.98 = 659.61 : x
  2. Step 2: Convert to fraction form
    1,633.77/2,449.98 = 659.61/x
  3. Step 3: Cross multiply
    1,633.77x = 2,449.98 × 659.61
  4. Step 4: Simplify right side
    1,633.77x = 1,616,031.31
  5. Step 5: Solve for x
    x = 1,616,031.31/1,633.77
  6. Step 6: Final answer
    x = 989.14

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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.