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Finding the Fourth Proportional to 723.88, 1,084.38 and 337.96

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Solution

The fourth proportional to 723.88, 1,084.38 and 337.96 is: 506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.88 : 1,084.38 = 337.96 : x
  2. Step 2: Convert to fraction form
    723.88/1,084.38 = 337.96/x
  3. Step 3: Cross multiply
    723.88x = 1,084.38 × 337.96
  4. Step 4: Simplify right side
    723.88x = 366,477.06
  5. Step 5: Solve for x
    x = 366,477.06/723.88
  6. Step 6: Final answer
    x = 506.27

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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.