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Finding the Fourth Proportional to 754.13, 1,040.49 and 459.29

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Solution

The fourth proportional to 754.13, 1,040.49 and 459.29 is: 633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.13 : 1,040.49 = 459.29 : x
  2. Step 2: Convert to fraction form
    754.13/1,040.49 = 459.29/x
  3. Step 3: Cross multiply
    754.13x = 1,040.49 × 459.29
  4. Step 4: Simplify right side
    754.13x = 477,881.45
  5. Step 5: Solve for x
    x = 477,881.45/754.13
  6. Step 6: Final answer
    x = 633.69

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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.