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Finding the Fourth Proportional to 1,412.93, 1,947.80 and 991.97

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Solution

The fourth proportional to 1,412.93, 1,947.80 and 991.97 is: 1,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.93 : 1,947.80 = 991.97 : x
  2. Step 2: Convert to fraction form
    1,412.93/1,947.80 = 991.97/x
  3. Step 3: Cross multiply
    1,412.93x = 1,947.80 × 991.97
  4. Step 4: Simplify right side
    1,412.93x = 1,932,144.47
  5. Step 5: Solve for x
    x = 1,932,144.47/1,412.93
  6. Step 6: Final answer
    x = 1,367.48

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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.