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Finding the Fourth Proportional to 723.22, 1,083.96 and 414.48

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Solution

The fourth proportional to 723.22, 1,083.96 and 414.48 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.22 : 1,083.96 = 414.48 : x
  2. Step 2: Convert to fraction form
    723.22/1,083.96 = 414.48/x
  3. Step 3: Cross multiply
    723.22x = 1,083.96 × 414.48
  4. Step 4: Simplify right side
    723.22x = 449,279.74
  5. Step 5: Solve for x
    x = 449,279.74/723.22
  6. Step 6: Final answer
    x = 621.22

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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.