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Finding the Fourth Proportional to 722.68, 1,083.92 and 236.06

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Solution

The fourth proportional to 722.68, 1,083.92 and 236.06 is: 354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.68 : 1,083.92 = 236.06 : x
  2. Step 2: Convert to fraction form
    722.68/1,083.92 = 236.06/x
  3. Step 3: Cross multiply
    722.68x = 1,083.92 × 236.06
  4. Step 4: Simplify right side
    722.68x = 255,870.16
  5. Step 5: Solve for x
    x = 255,870.16/722.68
  6. Step 6: Final answer
    x = 354.06

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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.