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Finding the Fourth Proportional to 1,296.11, 1,788.67 and 736.55

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Solution

The fourth proportional to 1,296.11, 1,788.67 and 736.55 is: 1,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.11 : 1,788.67 = 736.55 : x
  2. Step 2: Convert to fraction form
    1,296.11/1,788.67 = 736.55/x
  3. Step 3: Cross multiply
    1,296.11x = 1,788.67 × 736.55
  4. Step 4: Simplify right side
    1,296.11x = 1,317,447.52
  5. Step 5: Solve for x
    x = 1,317,447.52/1,296.11
  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.