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Finding the Fourth Proportional to 1,371.71, 2,056.67 and 778.75

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Solution

The fourth proportional to 1,371.71, 2,056.67 and 778.75 is: 1,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.71 : 2,056.67 = 778.75 : x
  2. Step 2: Convert to fraction form
    1,371.71/2,056.67 = 778.75/x
  3. Step 3: Cross multiply
    1,371.71x = 2,056.67 × 778.75
  4. Step 4: Simplify right side
    1,371.71x = 1,601,622.73
  5. Step 5: Solve for x
    x = 1,601,622.73/1,371.71
  6. Step 6: Final answer
    x = 1,167.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.