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Finding the Fourth Proportional to 722.69, 1,083.12 and 352.19

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Solution

The fourth proportional to 722.69, 1,083.12 and 352.19 is: 527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.69 : 1,083.12 = 352.19 : x
  2. Step 2: Convert to fraction form
    722.69/1,083.12 = 352.19/x
  3. Step 3: Cross multiply
    722.69x = 1,083.12 × 352.19
  4. Step 4: Simplify right side
    722.69x = 381,459.94
  5. Step 5: Solve for x
    x = 381,459.94/722.69
  6. Step 6: Final answer
    x = 527.84

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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.