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Finding the Fourth Proportional to 1,411.46, 1,947.82 and 773.41

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Solution

The fourth proportional to 1,411.46, 1,947.82 and 773.41 is: 1,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.46 : 1,947.82 = 773.41 : x
  2. Step 2: Convert to fraction form
    1,411.46/1,947.82 = 773.41/x
  3. Step 3: Cross multiply
    1,411.46x = 1,947.82 × 773.41
  4. Step 4: Simplify right side
    1,411.46x = 1,506,466.68
  5. Step 5: Solve for x
    x = 1,506,466.68/1,411.46
  6. Step 6: Final answer
    x = 1,067.31

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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.