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Finding the Fourth Proportional to 1,659.75, 2,489.81 and 564.20

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Solution

The fourth proportional to 1,659.75, 2,489.81 and 564.20 is: 846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.75 : 2,489.81 = 564.20 : x
  2. Step 2: Convert to fraction form
    1,659.75/2,489.81 = 564.20/x
  3. Step 3: Cross multiply
    1,659.75x = 2,489.81 × 564.20
  4. Step 4: Simplify right side
    1,659.75x = 1,404,735.53
  5. Step 5: Solve for x
    x = 1,404,735.53/1,659.75
  6. Step 6: Final answer
    x = 846.35

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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.