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Finding the Fourth Proportional to 722.79, 1,083.17 and 357.21

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Solution

The fourth proportional to 722.79, 1,083.17 and 357.21 is: 535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.79 : 1,083.17 = 357.21 : x
  2. Step 2: Convert to fraction form
    722.79/1,083.17 = 357.21/x
  3. Step 3: Cross multiply
    722.79x = 1,083.17 × 357.21
  4. Step 4: Simplify right side
    722.79x = 386,920.05
  5. Step 5: Solve for x
    x = 386,920.05/722.79
  6. Step 6: Final answer
    x = 535.31

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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.