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Finding the Fourth Proportional to 1,093.02, 1,639.73 and 444.21

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Solution

The fourth proportional to 1,093.02, 1,639.73 and 444.21 is: 666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.02 : 1,639.73 = 444.21 : x
  2. Step 2: Convert to fraction form
    1,093.02/1,639.73 = 444.21/x
  3. Step 3: Cross multiply
    1,093.02x = 1,639.73 × 444.21
  4. Step 4: Simplify right side
    1,093.02x = 728,385.57
  5. Step 5: Solve for x
    x = 728,385.57/1,093.02
  6. Step 6: Final answer
    x = 666.40

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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.