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Finding the Fourth Proportional to 723.76, 1,084.19 and 333.22

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Solution

The fourth proportional to 723.76, 1,084.19 and 333.22 is: 499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.76 : 1,084.19 = 333.22 : x
  2. Step 2: Convert to fraction form
    723.76/1,084.19 = 333.22/x
  3. Step 3: Cross multiply
    723.76x = 1,084.19 × 333.22
  4. Step 4: Simplify right side
    723.76x = 361,266.70
  5. Step 5: Solve for x
    x = 361,266.70/723.76
  6. Step 6: Final answer
    x = 499.15

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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.