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Finding the Fourth Proportional to 1,003.82, 1,505.73 and 426.29

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Solution

The fourth proportional to 1,003.82, 1,505.73 and 426.29 is: 639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.82 : 1,505.73 = 426.29 : x
  2. Step 2: Convert to fraction form
    1,003.82/1,505.73 = 426.29/x
  3. Step 3: Cross multiply
    1,003.82x = 1,505.73 × 426.29
  4. Step 4: Simplify right side
    1,003.82x = 641,877.64
  5. Step 5: Solve for x
    x = 641,877.64/1,003.82
  6. Step 6: Final answer
    x = 639.44

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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.