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Finding the Fourth Proportional to 1,606.97, 2,410.64 and 566.75

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Solution

The fourth proportional to 1,606.97, 2,410.64 and 566.75 is: 850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.97 : 2,410.64 = 566.75 : x
  2. Step 2: Convert to fraction form
    1,606.97/2,410.64 = 566.75/x
  3. Step 3: Cross multiply
    1,606.97x = 2,410.64 × 566.75
  4. Step 4: Simplify right side
    1,606.97x = 1,366,237.66
  5. Step 5: Solve for x
    x = 1,366,237.66/1,606.97
  6. Step 6: Final answer
    x = 850.19

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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.