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Finding the Fourth Proportional to 754.24, 1,040.52 and 459.40

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Solution

The fourth proportional to 754.24, 1,040.52 and 459.40 is: 633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.24 : 1,040.52 = 459.40 : x
  2. Step 2: Convert to fraction form
    754.24/1,040.52 = 459.40/x
  3. Step 3: Cross multiply
    754.24x = 1,040.52 × 459.40
  4. Step 4: Simplify right side
    754.24x = 478,014.89
  5. Step 5: Solve for x
    x = 478,014.89/754.24
  6. Step 6: Final answer
    x = 633.77

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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.