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Finding the Fourth Proportional to 1,469.93, 2,028.54 and 806.79

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Solution

The fourth proportional to 1,469.93, 2,028.54 and 806.79 is: 1,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.93 : 2,028.54 = 806.79 : x
  2. Step 2: Convert to fraction form
    1,469.93/2,028.54 = 806.79/x
  3. Step 3: Cross multiply
    1,469.93x = 2,028.54 × 806.79
  4. Step 4: Simplify right side
    1,469.93x = 1,636,605.79
  5. Step 5: Solve for x
    x = 1,636,605.79/1,469.93
  6. Step 6: Final answer
    x = 1,113.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.