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Finding the Fourth Proportional to 1,644.14, 2,465.67 and 656.60

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Solution

The fourth proportional to 1,644.14, 2,465.67 and 656.60 is: 984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.14 : 2,465.67 = 656.60 : x
  2. Step 2: Convert to fraction form
    1,644.14/2,465.67 = 656.60/x
  3. Step 3: Cross multiply
    1,644.14x = 2,465.67 × 656.60
  4. Step 4: Simplify right side
    1,644.14x = 1,618,958.92
  5. Step 5: Solve for x
    x = 1,618,958.92/1,644.14
  6. Step 6: Final answer
    x = 984.68

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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.