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Finding the Fourth Proportional to 820.68, 1,230.06 and 496.26

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Solution

The fourth proportional to 820.68, 1,230.06 and 496.26 is: 743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.68 : 1,230.06 = 496.26 : x
  2. Step 2: Convert to fraction form
    820.68/1,230.06 = 496.26/x
  3. Step 3: Cross multiply
    820.68x = 1,230.06 × 496.26
  4. Step 4: Simplify right side
    820.68x = 610,429.58
  5. Step 5: Solve for x
    x = 610,429.58/820.68
  6. Step 6: Final answer
    x = 743.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.