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Finding the Fourth Proportional to 1,064.82, 1,469.54 and 622.64

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Solution

The fourth proportional to 1,064.82, 1,469.54 and 622.64 is: 859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.82 : 1,469.54 = 622.64 : x
  2. Step 2: Convert to fraction form
    1,064.82/1,469.54 = 622.64/x
  3. Step 3: Cross multiply
    1,064.82x = 1,469.54 × 622.64
  4. Step 4: Simplify right side
    1,064.82x = 914,983.92
  5. Step 5: Solve for x
    x = 914,983.92/1,064.82
  6. Step 6: Final answer
    x = 859.29

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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.