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Finding the Fourth Proportional to 754.02, 1,040.72 and 459.23

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Solution

The fourth proportional to 754.02, 1,040.72 and 459.23 is: 633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.02 : 1,040.72 = 459.23 : x
  2. Step 2: Convert to fraction form
    754.02/1,040.72 = 459.23/x
  3. Step 3: Cross multiply
    754.02x = 1,040.72 × 459.23
  4. Step 4: Simplify right side
    754.02x = 477,922.35
  5. Step 5: Solve for x
    x = 477,922.35/754.02
  6. Step 6: Final answer
    x = 633.83

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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.