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Finding the Fourth Proportional to 1,103.93, 1,653.72 and 640.73

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Solution

The fourth proportional to 1,103.93, 1,653.72 and 640.73 is: 959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.93 : 1,653.72 = 640.73 : x
  2. Step 2: Convert to fraction form
    1,103.93/1,653.72 = 640.73/x
  3. Step 3: Cross multiply
    1,103.93x = 1,653.72 × 640.73
  4. Step 4: Simplify right side
    1,103.93x = 1,059,588.02
  5. Step 5: Solve for x
    x = 1,059,588.02/1,103.93
  6. Step 6: Final answer
    x = 959.83

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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.