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Finding the Fourth Proportional to 1,064.70, 1,469.40 and 622.58

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Solution

The fourth proportional to 1,064.70, 1,469.40 and 622.58 is: 859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.70 : 1,469.40 = 622.58 : x
  2. Step 2: Convert to fraction form
    1,064.70/1,469.40 = 622.58/x
  3. Step 3: Cross multiply
    1,064.70x = 1,469.40 × 622.58
  4. Step 4: Simplify right side
    1,064.70x = 914,814.04
  5. Step 5: Solve for x
    x = 914,814.04/1,064.70
  6. Step 6: Final answer
    x = 859.22

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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.