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Finding the Fourth Proportional to 754.40, 1,041.09 and 422.82

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Solution

The fourth proportional to 754.40, 1,041.09 and 422.82 is: 583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.40 : 1,041.09 = 422.82 : x
  2. Step 2: Convert to fraction form
    754.40/1,041.09 = 422.82/x
  3. Step 3: Cross multiply
    754.40x = 1,041.09 × 422.82
  4. Step 4: Simplify right side
    754.40x = 440,192.09
  5. Step 5: Solve for x
    x = 440,192.09/754.40
  6. Step 6: Final answer
    x = 583.50

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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.