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Finding the Fourth Proportional to 1,243.59, 1,715.44 and 771.27

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Solution

The fourth proportional to 1,243.59, 1,715.44 and 771.27 is: 1,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.59 : 1,715.44 = 771.27 : x
  2. Step 2: Convert to fraction form
    1,243.59/1,715.44 = 771.27/x
  3. Step 3: Cross multiply
    1,243.59x = 1,715.44 × 771.27
  4. Step 4: Simplify right side
    1,243.59x = 1,323,067.41
  5. Step 5: Solve for x
    x = 1,323,067.41/1,243.59
  6. Step 6: Final answer
    x = 1,063.91

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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.