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Finding the Fourth Proportional to 722.01, 1,083.17 and 228.41

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Solution

The fourth proportional to 722.01, 1,083.17 and 228.41 is: 342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.01 : 1,083.17 = 228.41 : x
  2. Step 2: Convert to fraction form
    722.01/1,083.17 = 228.41/x
  3. Step 3: Cross multiply
    722.01x = 1,083.17 × 228.41
  4. Step 4: Simplify right side
    722.01x = 247,406.86
  5. Step 5: Solve for x
    x = 247,406.86/722.01
  6. Step 6: Final answer
    x = 342.66

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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.