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Finding the Fourth Proportional to 1,336.07, 1,843.76 and 776.86

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Solution

The fourth proportional to 1,336.07, 1,843.76 and 776.86 is: 1,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.07 : 1,843.76 = 776.86 : x
  2. Step 2: Convert to fraction form
    1,336.07/1,843.76 = 776.86/x
  3. Step 3: Cross multiply
    1,336.07x = 1,843.76 × 776.86
  4. Step 4: Simplify right side
    1,336.07x = 1,432,343.39
  5. Step 5: Solve for x
    x = 1,432,343.39/1,336.07
  6. Step 6: Final answer
    x = 1,072.06

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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.