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Finding the Fourth Proportional to 1,020.27, 1,408.01 and 622.20

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Solution

The fourth proportional to 1,020.27, 1,408.01 and 622.20 is: 858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.27 : 1,408.01 = 622.20 : x
  2. Step 2: Convert to fraction form
    1,020.27/1,408.01 = 622.20/x
  3. Step 3: Cross multiply
    1,020.27x = 1,408.01 × 622.20
  4. Step 4: Simplify right side
    1,020.27x = 876,060.71
  5. Step 5: Solve for x
    x = 876,060.71/1,020.27
  6. Step 6: Final answer
    x = 858.66

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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.