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Finding the Fourth Proportional to 753.94, 1,040.46 and 459.46

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Solution

The fourth proportional to 753.94, 1,040.46 and 459.46 is: 634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.94 : 1,040.46 = 459.46 : x
  2. Step 2: Convert to fraction form
    753.94/1,040.46 = 459.46/x
  3. Step 3: Cross multiply
    753.94x = 1,040.46 × 459.46
  4. Step 4: Simplify right side
    753.94x = 478,049.75
  5. Step 5: Solve for x
    x = 478,049.75/753.94
  6. Step 6: Final answer
    x = 634.07

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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.