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Finding the Fourth Proportional to 772.38, 1,159.07 and 285.43

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Solution

The fourth proportional to 772.38, 1,159.07 and 285.43 is: 428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.38 : 1,159.07 = 285.43 : x
  2. Step 2: Convert to fraction form
    772.38/1,159.07 = 285.43/x
  3. Step 3: Cross multiply
    772.38x = 1,159.07 × 285.43
  4. Step 4: Simplify right side
    772.38x = 330,833.35
  5. Step 5: Solve for x
    x = 330,833.35/772.38
  6. Step 6: Final answer
    x = 428.33

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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.