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Finding the Fourth Proportional to 722.02, 1,083.11 and 209.02

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Solution

The fourth proportional to 722.02, 1,083.11 and 209.02 is: 313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.02 : 1,083.11 = 209.02 : x
  2. Step 2: Convert to fraction form
    722.02/1,083.11 = 209.02/x
  3. Step 3: Cross multiply
    722.02x = 1,083.11 × 209.02
  4. Step 4: Simplify right side
    722.02x = 226,391.65
  5. Step 5: Solve for x
    x = 226,391.65/722.02
  6. Step 6: Final answer
    x = 313.55

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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.