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Finding the Fourth Proportional to 754.21, 1,040.76 and 422.64

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Solution

The fourth proportional to 754.21, 1,040.76 and 422.64 is: 583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.21 : 1,040.76 = 422.64 : x
  2. Step 2: Convert to fraction form
    754.21/1,040.76 = 422.64/x
  3. Step 3: Cross multiply
    754.21x = 1,040.76 × 422.64
  4. Step 4: Simplify right side
    754.21x = 439,861.60
  5. Step 5: Solve for x
    x = 439,861.60/754.21
  6. Step 6: Final answer
    x = 583.21

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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.