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Finding the Fourth Proportional to 722.19, 1,083.05 and 235.13

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Solution

The fourth proportional to 722.19, 1,083.05 and 235.13 is: 352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.19 : 1,083.05 = 235.13 : x
  2. Step 2: Convert to fraction form
    722.19/1,083.05 = 235.13/x
  3. Step 3: Cross multiply
    722.19x = 1,083.05 × 235.13
  4. Step 4: Simplify right side
    722.19x = 254,651.84
  5. Step 5: Solve for x
    x = 254,651.84/722.19
  6. Step 6: Final answer
    x = 352.61

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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.