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Finding the Fourth Proportional to 1,412.31, 1,949 and 791.31

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Solution

The fourth proportional to 1,412.31, 1,949 and 791.31 is: 1,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.31 : 1,949 = 791.31 : x
  2. Step 2: Convert to fraction form
    1,412.31/1,949 = 791.31/x
  3. Step 3: Cross multiply
    1,412.31x = 1,949 × 791.31
  4. Step 4: Simplify right side
    1,412.31x = 1,542,263.19
  5. Step 5: Solve for x
    x = 1,542,263.19/1,412.31
  6. Step 6: Final answer
    x = 1,092.01

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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.