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Finding the Fourth Proportional to 1,094.24, 1,640.75 and 444.21

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Solution

The fourth proportional to 1,094.24, 1,640.75 and 444.21 is: 666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.24 : 1,640.75 = 444.21 : x
  2. Step 2: Convert to fraction form
    1,094.24/1,640.75 = 444.21/x
  3. Step 3: Cross multiply
    1,094.24x = 1,640.75 × 444.21
  4. Step 4: Simplify right side
    1,094.24x = 728,837.56
  5. Step 5: Solve for x
    x = 728,837.56/1,094.24
  6. Step 6: Final answer
    x = 666.07

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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.