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Finding the Fourth Proportional to 1,003.50, 1,505.87 and 426.38

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Solution

The fourth proportional to 1,003.50, 1,505.87 and 426.38 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.50 : 1,505.87 = 426.38 : x
  2. Step 2: Convert to fraction form
    1,003.50/1,505.87 = 426.38/x
  3. Step 3: Cross multiply
    1,003.50x = 1,505.87 × 426.38
  4. Step 4: Simplify right side
    1,003.50x = 642,072.85
  5. Step 5: Solve for x
    x = 642,072.85/1,003.50
  6. Step 6: Final answer
    x = 639.83

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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.