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Finding the Fourth Proportional to 1,103.67, 1,650.72 and 640.32

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Solution

The fourth proportional to 1,103.67, 1,650.72 and 640.32 is: 957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.67 : 1,650.72 = 640.32 : x
  2. Step 2: Convert to fraction form
    1,103.67/1,650.72 = 640.32/x
  3. Step 3: Cross multiply
    1,103.67x = 1,650.72 × 640.32
  4. Step 4: Simplify right side
    1,103.67x = 1,056,989.03
  5. Step 5: Solve for x
    x = 1,056,989.03/1,103.67
  6. Step 6: Final answer
    x = 957.70

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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.