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Finding the Fourth Proportional to 1,605.25, 2,404.20 and 825.91

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Solution

The fourth proportional to 1,605.25, 2,404.20 and 825.91 is: 1,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.25 : 2,404.20 = 825.91 : x
  2. Step 2: Convert to fraction form
    1,605.25/2,404.20 = 825.91/x
  3. Step 3: Cross multiply
    1,605.25x = 2,404.20 × 825.91
  4. Step 4: Simplify right side
    1,605.25x = 1,985,646.57
  5. Step 5: Solve for x
    x = 1,985,646.57/1,605.25
  6. Step 6: Final answer
    x = 1,236.97

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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.