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Finding the Fourth Proportional to 1,064.90, 1,469.66 and 622.77

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Solution

The fourth proportional to 1,064.90, 1,469.66 and 622.77 is: 859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.90 : 1,469.66 = 622.77 : x
  2. Step 2: Convert to fraction form
    1,064.90/1,469.66 = 622.77/x
  3. Step 3: Cross multiply
    1,064.90x = 1,469.66 × 622.77
  4. Step 4: Simplify right side
    1,064.90x = 915,257.04
  5. Step 5: Solve for x
    x = 915,257.04/1,064.90
  6. Step 6: Final answer
    x = 859.48

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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.