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Finding the Fourth Proportional to 722.41, 1,083.25 and 260.12

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Solution

The fourth proportional to 722.41, 1,083.25 and 260.12 is: 390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.41 : 1,083.25 = 260.12 : x
  2. Step 2: Convert to fraction form
    722.41/1,083.25 = 260.12/x
  3. Step 3: Cross multiply
    722.41x = 1,083.25 × 260.12
  4. Step 4: Simplify right side
    722.41x = 281,768.92
  5. Step 5: Solve for x
    x = 281,768.92/722.41
  6. Step 6: Final answer
    x = 390.04

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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.