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Finding the Fourth Proportional to 729.39, 1,006.74 and 496.50

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Solution

The fourth proportional to 729.39, 1,006.74 and 496.50 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.39 : 1,006.74 = 496.50 : x
  2. Step 2: Convert to fraction form
    729.39/1,006.74 = 496.50/x
  3. Step 3: Cross multiply
    729.39x = 1,006.74 × 496.50
  4. Step 4: Simplify right side
    729.39x = 499,846.41
  5. Step 5: Solve for x
    x = 499,846.41/729.39
  6. Step 6: Final answer
    x = 685.29

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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.