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Finding the Fourth Proportional to 722.12, 1,083.71 and 448.61

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Solution

The fourth proportional to 722.12, 1,083.71 and 448.61 is: 673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.12 : 1,083.71 = 448.61 : x
  2. Step 2: Convert to fraction form
    722.12/1,083.71 = 448.61/x
  3. Step 3: Cross multiply
    722.12x = 1,083.71 × 448.61
  4. Step 4: Simplify right side
    722.12x = 486,158.85
  5. Step 5: Solve for x
    x = 486,158.85/722.12
  6. Step 6: Final answer
    x = 673.24

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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.