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Finding the Fourth Proportional to 1,093.10, 1,640.10 and 400.10

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Solution

The fourth proportional to 1,093.10, 1,640.10 and 400.10 is: 600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.10 : 1,640.10 = 400.10 : x
  2. Step 2: Convert to fraction form
    1,093.10/1,640.10 = 400.10/x
  3. Step 3: Cross multiply
    1,093.10x = 1,640.10 × 400.10
  4. Step 4: Simplify right side
    1,093.10x = 656,195.81
  5. Step 5: Solve for x
    x = 656,195.81/1,093.10
  6. Step 6: Final answer
    x = 600.31

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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.