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Finding the Fourth Proportional to 1,064.86, 1,469.37 and 622.69

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Solution

The fourth proportional to 1,064.86, 1,469.37 and 622.69 is: 859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.86 : 1,469.37 = 622.69 : x
  2. Step 2: Convert to fraction form
    1,064.86/1,469.37 = 622.69/x
  3. Step 3: Cross multiply
    1,064.86x = 1,469.37 × 622.69
  4. Step 4: Simplify right side
    1,064.86x = 914,962.01
  5. Step 5: Solve for x
    x = 914,962.01/1,064.86
  6. Step 6: Final answer
    x = 859.23

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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.