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Finding the Fourth Proportional to 721.88, 1,083.21 and 414.35

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Solution

The fourth proportional to 721.88, 1,083.21 and 414.35 is: 621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.88 : 1,083.21 = 414.35 : x
  2. Step 2: Convert to fraction form
    721.88/1,083.21 = 414.35/x
  3. Step 3: Cross multiply
    721.88x = 1,083.21 × 414.35
  4. Step 4: Simplify right side
    721.88x = 448,828.06
  5. Step 5: Solve for x
    x = 448,828.06/721.88
  6. Step 6: Final answer
    x = 621.75

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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.