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Finding the Fourth Proportional to 748.15, 1,121.18 and 382.16

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Solution

The fourth proportional to 748.15, 1,121.18 and 382.16 is: 572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.15 : 1,121.18 = 382.16 : x
  2. Step 2: Convert to fraction form
    748.15/1,121.18 = 382.16/x
  3. Step 3: Cross multiply
    748.15x = 1,121.18 × 382.16
  4. Step 4: Simplify right side
    748.15x = 428,473.19
  5. Step 5: Solve for x
    x = 428,473.19/748.15
  6. Step 6: Final answer
    x = 572.71

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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.