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Finding the Fourth Proportional to 1,296.11, 1,788.62 and 736.58

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Solution

The fourth proportional to 1,296.11, 1,788.62 and 736.58 is: 1,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.11 : 1,788.62 = 736.58 : x
  2. Step 2: Convert to fraction form
    1,296.11/1,788.62 = 736.58/x
  3. Step 3: Cross multiply
    1,296.11x = 1,788.62 × 736.58
  4. Step 4: Simplify right side
    1,296.11x = 1,317,456.34
  5. Step 5: Solve for x
    x = 1,317,456.34/1,296.11
  6. Step 6: Final answer
    x = 1,016.47

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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.