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Finding the Fourth Proportional to 757.75, 1,135.80 and 366.92

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Solution

The fourth proportional to 757.75, 1,135.80 and 366.92 is: 549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.75 : 1,135.80 = 366.92 : x
  2. Step 2: Convert to fraction form
    757.75/1,135.80 = 366.92/x
  3. Step 3: Cross multiply
    757.75x = 1,135.80 × 366.92
  4. Step 4: Simplify right side
    757.75x = 416,747.74
  5. Step 5: Solve for x
    x = 416,747.74/757.75
  6. Step 6: Final answer
    x = 549.98

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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.