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Finding the Fourth Proportional to 1,294.09, 1,786.11 and 797.14

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Solution

The fourth proportional to 1,294.09, 1,786.11 and 797.14 is: 1,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.09 : 1,786.11 = 797.14 : x
  2. Step 2: Convert to fraction form
    1,294.09/1,786.11 = 797.14/x
  3. Step 3: Cross multiply
    1,294.09x = 1,786.11 × 797.14
  4. Step 4: Simplify right side
    1,294.09x = 1,423,779.73
  5. Step 5: Solve for x
    x = 1,423,779.73/1,294.09
  6. Step 6: Final answer
    x = 1,100.22

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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.