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Finding the Fourth Proportional to 722.54, 1,083.61 and 202.51

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Solution

The fourth proportional to 722.54, 1,083.61 and 202.51 is: 303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.54 : 1,083.61 = 202.51 : x
  2. Step 2: Convert to fraction form
    722.54/1,083.61 = 202.51/x
  3. Step 3: Cross multiply
    722.54x = 1,083.61 × 202.51
  4. Step 4: Simplify right side
    722.54x = 219,439.41
  5. Step 5: Solve for x
    x = 219,439.41/722.54
  6. Step 6: Final answer
    x = 303.71

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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.