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Finding the Fourth Proportional to 920.38, 1,380.16 and 573.19

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Solution

The fourth proportional to 920.38, 1,380.16 and 573.19 is: 859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.38 : 1,380.16 = 573.19 : x
  2. Step 2: Convert to fraction form
    920.38/1,380.16 = 573.19/x
  3. Step 3: Cross multiply
    920.38x = 1,380.16 × 573.19
  4. Step 4: Simplify right side
    920.38x = 791,093.91
  5. Step 5: Solve for x
    x = 791,093.91/920.38
  6. Step 6: Final answer
    x = 859.53

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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.