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Finding the Fourth Proportional to 722.80, 1,084.11 and 284.38

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Solution

The fourth proportional to 722.80, 1,084.11 and 284.38 is: 426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.80 : 1,084.11 = 284.38 : x
  2. Step 2: Convert to fraction form
    722.80/1,084.11 = 284.38/x
  3. Step 3: Cross multiply
    722.80x = 1,084.11 × 284.38
  4. Step 4: Simplify right side
    722.80x = 308,295.43
  5. Step 5: Solve for x
    x = 308,295.43/722.80
  6. Step 6: Final answer
    x = 426.53

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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.