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Finding the Fourth Proportional to 734.94, 1,102.75 and 369.77

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Solution

The fourth proportional to 734.94, 1,102.75 and 369.77 is: 554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.94 : 1,102.75 = 369.77 : x
  2. Step 2: Convert to fraction form
    734.94/1,102.75 = 369.77/x
  3. Step 3: Cross multiply
    734.94x = 1,102.75 × 369.77
  4. Step 4: Simplify right side
    734.94x = 407,757.43
  5. Step 5: Solve for x
    x = 407,757.43/734.94
  6. Step 6: Final answer
    x = 554.82

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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.