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Finding the Fourth Proportional to 722.46, 1,083.86 and 414.51

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Solution

The fourth proportional to 722.46, 1,083.86 and 414.51 is: 621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.46 : 1,083.86 = 414.51 : x
  2. Step 2: Convert to fraction form
    722.46/1,083.86 = 414.51/x
  3. Step 3: Cross multiply
    722.46x = 1,083.86 × 414.51
  4. Step 4: Simplify right side
    722.46x = 449,270.81
  5. Step 5: Solve for x
    x = 449,270.81/722.46
  6. Step 6: Final answer
    x = 621.86

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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.