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Finding the Fourth Proportional to 1,012.33, 1,394.00 and 938.82

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Solution

The fourth proportional to 1,012.33, 1,394.00 and 938.82 is: 1,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.33 : 1,394.00 = 938.82 : x
  2. Step 2: Convert to fraction form
    1,012.33/1,394.00 = 938.82/x
  3. Step 3: Cross multiply
    1,012.33x = 1,394.00 × 938.82
  4. Step 4: Simplify right side
    1,012.33x = 1,308,710.39
  5. Step 5: Solve for x
    x = 1,308,710.39/1,012.33
  6. Step 6: Final answer
    x = 1,292.77

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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.