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Finding the Fourth Proportional to 1,296.34, 1,788.04 and 998.36

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Solution

The fourth proportional to 1,296.34, 1,788.04 and 998.36 is: 1,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.34 : 1,788.04 = 998.36 : x
  2. Step 2: Convert to fraction form
    1,296.34/1,788.04 = 998.36/x
  3. Step 3: Cross multiply
    1,296.34x = 1,788.04 × 998.36
  4. Step 4: Simplify right side
    1,296.34x = 1,785,107.61
  5. Step 5: Solve for x
    x = 1,785,107.61/1,296.34
  6. Step 6: Final answer
    x = 1,377.04

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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.