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Finding the Fourth Proportional to 754.21, 1,040.63 and 459.46

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Solution

The fourth proportional to 754.21, 1,040.63 and 459.46 is: 633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.21 : 1,040.63 = 459.46 : x
  2. Step 2: Convert to fraction form
    754.21/1,040.63 = 459.46/x
  3. Step 3: Cross multiply
    754.21x = 1,040.63 × 459.46
  4. Step 4: Simplify right side
    754.21x = 478,125.56
  5. Step 5: Solve for x
    x = 478,125.56/754.21
  6. Step 6: Final answer
    x = 633.94

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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.