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Finding the Fourth Proportional to 1,003.05, 1,382.05 and 935.31

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Solution

The fourth proportional to 1,003.05, 1,382.05 and 935.31 is: 1,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.05 : 1,382.05 = 935.31 : x
  2. Step 2: Convert to fraction form
    1,003.05/1,382.05 = 935.31/x
  3. Step 3: Cross multiply
    1,003.05x = 1,382.05 × 935.31
  4. Step 4: Simplify right side
    1,003.05x = 1,292,645.19
  5. Step 5: Solve for x
    x = 1,292,645.19/1,003.05
  6. Step 6: Final answer
    x = 1,288.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.