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Finding the Fourth Proportional to 722.49, 1,083.12 and 414.80

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Solution

The fourth proportional to 722.49, 1,083.12 and 414.80 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.49 : 1,083.12 = 414.80 : x
  2. Step 2: Convert to fraction form
    722.49/1,083.12 = 414.80/x
  3. Step 3: Cross multiply
    722.49x = 1,083.12 × 414.80
  4. Step 4: Simplify right side
    722.49x = 449,278.18
  5. Step 5: Solve for x
    x = 449,278.18/722.49
  6. Step 6: Final answer
    x = 621.85

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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.