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Finding the Fourth Proportional to 871.30, 1,202.64 and 622.22

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Solution

The fourth proportional to 871.30, 1,202.64 and 622.22 is: 858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.30 : 1,202.64 = 622.22 : x
  2. Step 2: Convert to fraction form
    871.30/1,202.64 = 622.22/x
  3. Step 3: Cross multiply
    871.30x = 1,202.64 × 622.22
  4. Step 4: Simplify right side
    871.30x = 748,306.66
  5. Step 5: Solve for x
    x = 748,306.66/871.30
  6. Step 6: Final answer
    x = 858.84

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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.