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Finding the Fourth Proportional to 722.58, 1,083.56 and 228.82

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Solution

The fourth proportional to 722.58, 1,083.56 and 228.82 is: 343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.58 : 1,083.56 = 228.82 : x
  2. Step 2: Convert to fraction form
    722.58/1,083.56 = 228.82/x
  3. Step 3: Cross multiply
    722.58x = 1,083.56 × 228.82
  4. Step 4: Simplify right side
    722.58x = 247,940.20
  5. Step 5: Solve for x
    x = 247,940.20/722.58
  6. Step 6: Final answer
    x = 343.13

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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.