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Finding the Fourth Proportional to 725.25, 1,000.50 and 426.50

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Solution

The fourth proportional to 725.25, 1,000.50 and 426.50 is: 588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.25 : 1,000.50 = 426.50 : x
  2. Step 2: Convert to fraction form
    725.25/1,000.50 = 426.50/x
  3. Step 3: Cross multiply
    725.25x = 1,000.50 × 426.50
  4. Step 4: Simplify right side
    725.25x = 426,708.25
  5. Step 5: Solve for x
    x = 426,708.25/725.25
  6. Step 6: Final answer
    x = 588.36

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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.