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Finding the Fourth Proportional to 753.70, 1,040.42 and 459.07

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Solution

The fourth proportional to 753.70, 1,040.42 and 459.07 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.70 : 1,040.42 = 459.07 : x
  2. Step 2: Convert to fraction form
    753.70/1,040.42 = 459.07/x
  3. Step 3: Cross multiply
    753.70x = 1,040.42 × 459.07
  4. Step 4: Simplify right side
    753.70x = 477,625.61
  5. Step 5: Solve for x
    x = 477,625.61/753.70
  6. Step 6: Final answer
    x = 633.71

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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.