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Finding the Fourth Proportional to 729.58, 1,006.83 and 496.78

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Solution

The fourth proportional to 729.58, 1,006.83 and 496.78 is: 685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.58 : 1,006.83 = 496.78 : x
  2. Step 2: Convert to fraction form
    729.58/1,006.83 = 496.78/x
  3. Step 3: Cross multiply
    729.58x = 1,006.83 × 496.78
  4. Step 4: Simplify right side
    729.58x = 500,173.01
  5. Step 5: Solve for x
    x = 500,173.01/729.58
  6. Step 6: Final answer
    x = 685.56

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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.