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Finding the Fourth Proportional to 1,003.38, 1,505.87 and 516.57

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Solution

The fourth proportional to 1,003.38, 1,505.87 and 516.57 is: 775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.38 : 1,505.87 = 516.57 : x
  2. Step 2: Convert to fraction form
    1,003.38/1,505.87 = 516.57/x
  3. Step 3: Cross multiply
    1,003.38x = 1,505.87 × 516.57
  4. Step 4: Simplify right side
    1,003.38x = 777,887.27
  5. Step 5: Solve for x
    x = 777,887.27/1,003.38
  6. Step 6: Final answer
    x = 775.27

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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.