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Finding the Fourth Proportional to 1,646.37, 2,469.57 and 659.27

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Solution

The fourth proportional to 1,646.37, 2,469.57 and 659.27 is: 988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.37 : 2,469.57 = 659.27 : x
  2. Step 2: Convert to fraction form
    1,646.37/2,469.57 = 659.27/x
  3. Step 3: Cross multiply
    1,646.37x = 2,469.57 × 659.27
  4. Step 4: Simplify right side
    1,646.37x = 1,628,113.41
  5. Step 5: Solve for x
    x = 1,628,113.41/1,646.37
  6. Step 6: Final answer
    x = 988.91

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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.