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Finding the Fourth Proportional to 723.20, 1,084.81 and 175.39

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Solution

The fourth proportional to 723.20, 1,084.81 and 175.39 is: 263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.20 : 1,084.81 = 175.39 : x
  2. Step 2: Convert to fraction form
    723.20/1,084.81 = 175.39/x
  3. Step 3: Cross multiply
    723.20x = 1,084.81 × 175.39
  4. Step 4: Simplify right side
    723.20x = 190,258.96
  5. Step 5: Solve for x
    x = 190,258.96/723.20
  6. Step 6: Final answer
    x = 263.08

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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.