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Finding the Fourth Proportional to 722.10, 1,083.15 and 550.92

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Solution

The fourth proportional to 722.10, 1,083.15 and 550.92 is: 826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.10 : 1,083.15 = 550.92 : x
  2. Step 2: Convert to fraction form
    722.10/1,083.15 = 550.92/x
  3. Step 3: Cross multiply
    722.10x = 1,083.15 × 550.92
  4. Step 4: Simplify right side
    722.10x = 596,729.00
  5. Step 5: Solve for x
    x = 596,729.00/722.10
  6. Step 6: Final answer
    x = 826.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.