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Finding the Fourth Proportional to 1,094.22, 1,639.89 and 444.18

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Solution

The fourth proportional to 1,094.22, 1,639.89 and 444.18 is: 665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.22 : 1,639.89 = 444.18 : x
  2. Step 2: Convert to fraction form
    1,094.22/1,639.89 = 444.18/x
  3. Step 3: Cross multiply
    1,094.22x = 1,639.89 × 444.18
  4. Step 4: Simplify right side
    1,094.22x = 728,406.34
  5. Step 5: Solve for x
    x = 728,406.34/1,094.22
  6. Step 6: Final answer
    x = 665.69

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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.