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Finding the Fourth Proportional to 1,093.64, 1,640.46 and 324.20

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Solution

The fourth proportional to 1,093.64, 1,640.46 and 324.20 is: 486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.64 : 1,640.46 = 324.20 : x
  2. Step 2: Convert to fraction form
    1,093.64/1,640.46 = 324.20/x
  3. Step 3: Cross multiply
    1,093.64x = 1,640.46 × 324.20
  4. Step 4: Simplify right side
    1,093.64x = 531,837.13
  5. Step 5: Solve for x
    x = 531,837.13/1,093.64
  6. Step 6: Final answer
    x = 486.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.