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Finding the Fourth Proportional to 675.87, 1,013.32 and 367.86

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Solution

The fourth proportional to 675.87, 1,013.32 and 367.86 is: 551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.87 : 1,013.32 = 367.86 : x
  2. Step 2: Convert to fraction form
    675.87/1,013.32 = 367.86/x
  3. Step 3: Cross multiply
    675.87x = 1,013.32 × 367.86
  4. Step 4: Simplify right side
    675.87x = 372,759.90
  5. Step 5: Solve for x
    x = 372,759.90/675.87
  6. Step 6: Final answer
    x = 551.53

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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.