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Finding the Fourth Proportional to 1,093.54, 1,640.37 and 399.93

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Solution

The fourth proportional to 1,093.54, 1,640.37 and 399.93 is: 599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.54 : 1,640.37 = 399.93 : x
  2. Step 2: Convert to fraction form
    1,093.54/1,640.37 = 399.93/x
  3. Step 3: Cross multiply
    1,093.54x = 1,640.37 × 399.93
  4. Step 4: Simplify right side
    1,093.54x = 656,033.17
  5. Step 5: Solve for x
    x = 656,033.17/1,093.54
  6. Step 6: Final answer
    x = 599.92

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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.