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Finding the Fourth Proportional to 1,064.45, 1,469.01 and 622.49

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Solution

The fourth proportional to 1,064.45, 1,469.01 and 622.49 is: 859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.45 : 1,469.01 = 622.49 : x
  2. Step 2: Convert to fraction form
    1,064.45/1,469.01 = 622.49/x
  3. Step 3: Cross multiply
    1,064.45x = 1,469.01 × 622.49
  4. Step 4: Simplify right side
    1,064.45x = 914,436.69
  5. Step 5: Solve for x
    x = 914,436.69/1,064.45
  6. Step 6: Final answer
    x = 859.07

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