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Finding the Fourth Proportional to 1,660.56, 2,489.30 and 564.16

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Solution

The fourth proportional to 1,660.56, 2,489.30 and 564.16 is: 845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.56 : 2,489.30 = 564.16 : x
  2. Step 2: Convert to fraction form
    1,660.56/2,489.30 = 564.16/x
  3. Step 3: Cross multiply
    1,660.56x = 2,489.30 × 564.16
  4. Step 4: Simplify right side
    1,660.56x = 1,404,363.49
  5. Step 5: Solve for x
    x = 1,404,363.49/1,660.56
  6. Step 6: Final answer
    x = 845.72

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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.