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Finding the Fourth Proportional to 721.83, 1,083.83 and 414.03

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Solution

The fourth proportional to 721.83, 1,083.83 and 414.03 is: 621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.83 : 1,083.83 = 414.03 : x
  2. Step 2: Convert to fraction form
    721.83/1,083.83 = 414.03/x
  3. Step 3: Cross multiply
    721.83x = 1,083.83 × 414.03
  4. Step 4: Simplify right side
    721.83x = 448,736.06
  5. Step 5: Solve for x
    x = 448,736.06/721.83
  6. Step 6: Final answer
    x = 621.66

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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.