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Finding the Fourth Proportional to 1,296.63, 1,788.84 and 729.33

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Solution

The fourth proportional to 1,296.63, 1,788.84 and 729.33 is: 1,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.63 : 1,788.84 = 729.33 : x
  2. Step 2: Convert to fraction form
    1,296.63/1,788.84 = 729.33/x
  3. Step 3: Cross multiply
    1,296.63x = 1,788.84 × 729.33
  4. Step 4: Simplify right side
    1,296.63x = 1,304,659.15
  5. Step 5: Solve for x
    x = 1,304,659.15/1,296.63
  6. Step 6: Final answer
    x = 1,006.19

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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.