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Finding the Fourth Proportional to 754.15, 1,042.22 and 644.80

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Solution

The fourth proportional to 754.15, 1,042.22 and 644.80 is: 891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.15 : 1,042.22 = 644.80 : x
  2. Step 2: Convert to fraction form
    754.15/1,042.22 = 644.80/x
  3. Step 3: Cross multiply
    754.15x = 1,042.22 × 644.80
  4. Step 4: Simplify right side
    754.15x = 672,023.46
  5. Step 5: Solve for x
    x = 672,023.46/754.15
  6. Step 6: Final answer
    x = 891.10

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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.