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Finding the Fourth Proportional to 722.24, 1,083.22 and 202.13

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Solution

The fourth proportional to 722.24, 1,083.22 and 202.13 is: 303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.24 : 1,083.22 = 202.13 : x
  2. Step 2: Convert to fraction form
    722.24/1,083.22 = 202.13/x
  3. Step 3: Cross multiply
    722.24x = 1,083.22 × 202.13
  4. Step 4: Simplify right side
    722.24x = 218,951.26
  5. Step 5: Solve for x
    x = 218,951.26/722.24
  6. Step 6: Final answer
    x = 303.16

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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.