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Finding the Fourth Proportional to 1,264.26, 1,896.68 and 386.84

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Solution

The fourth proportional to 1,264.26, 1,896.68 and 386.84 is: 580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.26 : 1,896.68 = 386.84 : x
  2. Step 2: Convert to fraction form
    1,264.26/1,896.68 = 386.84/x
  3. Step 3: Cross multiply
    1,264.26x = 1,896.68 × 386.84
  4. Step 4: Simplify right side
    1,264.26x = 733,711.69
  5. Step 5: Solve for x
    x = 733,711.69/1,264.26
  6. Step 6: Final answer
    x = 580.35

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