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Finding the Fourth Proportional to 716.13, 1,072.71 and 350.61

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Solution

The fourth proportional to 716.13, 1,072.71 and 350.61 is: 525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.13 : 1,072.71 = 350.61 : x
  2. Step 2: Convert to fraction form
    716.13/1,072.71 = 350.61/x
  3. Step 3: Cross multiply
    716.13x = 1,072.71 × 350.61
  4. Step 4: Simplify right side
    716.13x = 376,102.85
  5. Step 5: Solve for x
    x = 376,102.85/716.13
  6. Step 6: Final answer
    x = 525.19

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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.