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Finding the Fourth Proportional to 1,336.27, 1,844.13 and 746.86

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Solution

The fourth proportional to 1,336.27, 1,844.13 and 746.86 is: 1,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.27 : 1,844.13 = 746.86 : x
  2. Step 2: Convert to fraction form
    1,336.27/1,844.13 = 746.86/x
  3. Step 3: Cross multiply
    1,336.27x = 1,844.13 × 746.86
  4. Step 4: Simplify right side
    1,336.27x = 1,377,306.93
  5. Step 5: Solve for x
    x = 1,377,306.93/1,336.27
  6. Step 6: Final answer
    x = 1,030.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.