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Finding the Fourth Proportional to 1,065.27, 1,469.59 and 622.97

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Solution

The fourth proportional to 1,065.27, 1,469.59 and 622.97 is: 859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.27 : 1,469.59 = 622.97 : x
  2. Step 2: Convert to fraction form
    1,065.27/1,469.59 = 622.97/x
  3. Step 3: Cross multiply
    1,065.27x = 1,469.59 × 622.97
  4. Step 4: Simplify right side
    1,065.27x = 915,513.88
  5. Step 5: Solve for x
    x = 915,513.88/1,065.27
  6. Step 6: Final answer
    x = 859.42

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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.