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Finding the Fourth Proportional to 732.94, 1,098.78 and 367.54

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Solution

The fourth proportional to 732.94, 1,098.78 and 367.54 is: 550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.94 : 1,098.78 = 367.54 : x
  2. Step 2: Convert to fraction form
    732.94/1,098.78 = 367.54/x
  3. Step 3: Cross multiply
    732.94x = 1,098.78 × 367.54
  4. Step 4: Simplify right side
    732.94x = 403,845.60
  5. Step 5: Solve for x
    x = 403,845.60/732.94
  6. Step 6: Final answer
    x = 550.99

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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.